Home / 1,609.29-2,414.30-787.14

Finding the Fourth Proportional to 1,609.29, 2,414.30 and 787.14

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Solution

The fourth proportional to 1,609.29, 2,414.30 and 787.14 is: 1,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.29 : 2,414.30 = 787.14 : x
  2. Step 2: Convert to fraction form
    1,609.29/2,414.30 = 787.14/x
  3. Step 3: Cross multiply
    1,609.29x = 2,414.30 × 787.14
  4. Step 4: Simplify right side
    1,609.29x = 1,900,388.17
  5. Step 5: Solve for x
    x = 1,900,388.17/1,609.29
  6. Step 6: Final answer
    x = 1,180.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.