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Finding the Fourth Proportional to 1,929.32, 2,892.08 and 758.59

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Solution

The fourth proportional to 1,929.32, 2,892.08 and 758.59 is: 1,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.32 : 2,892.08 = 758.59 : x
  2. Step 2: Convert to fraction form
    1,929.32/2,892.08 = 758.59/x
  3. Step 3: Cross multiply
    1,929.32x = 2,892.08 × 758.59
  4. Step 4: Simplify right side
    1,929.32x = 2,193,902.97
  5. Step 5: Solve for x
    x = 2,193,902.97/1,929.32
  6. Step 6: Final answer
    x = 1,137.14

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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.