Home / 1,624.48-2,241.68-916.32

Finding the Fourth Proportional to 1,624.48, 2,241.68 and 916.32

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Solution

The fourth proportional to 1,624.48, 2,241.68 and 916.32 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.48 : 2,241.68 = 916.32 : x
  2. Step 2: Convert to fraction form
    1,624.48/2,241.68 = 916.32/x
  3. Step 3: Cross multiply
    1,624.48x = 2,241.68 × 916.32
  4. Step 4: Simplify right side
    1,624.48x = 2,054,096.22
  5. Step 5: Solve for x
    x = 2,054,096.22/1,624.48
  6. Step 6: Final answer
    x = 1,264.46

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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.