Home / 1,624.35-2,241.61-916.20

Finding the Fourth Proportional to 1,624.35, 2,241.61 and 916.20

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Solution

The fourth proportional to 1,624.35, 2,241.61 and 916.20 is: 1,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.35 : 2,241.61 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,624.35/2,241.61 = 916.20/x
  3. Step 3: Cross multiply
    1,624.35x = 2,241.61 × 916.20
  4. Step 4: Simplify right side
    1,624.35x = 2,053,763.08
  5. Step 5: Solve for x
    x = 2,053,763.08/1,624.35
  6. Step 6: Final answer
    x = 1,264.36

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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.