Home / 1,624.34-2,241.57-916.19

Finding the Fourth Proportional to 1,624.34, 2,241.57 and 916.19

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Solution

The fourth proportional to 1,624.34, 2,241.57 and 916.19 is: 1,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.34 : 2,241.57 = 916.19 : x
  2. Step 2: Convert to fraction form
    1,624.34/2,241.57 = 916.19/x
  3. Step 3: Cross multiply
    1,624.34x = 2,241.57 × 916.19
  4. Step 4: Simplify right side
    1,624.34x = 2,053,704.02
  5. Step 5: Solve for x
    x = 2,053,704.02/1,624.34
  6. Step 6: Final answer
    x = 1,264.33

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Half scale
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Double scale
Find fourth proportional to 1,625.34, 2,242.95 and 917.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.