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Finding the Fourth Proportional to 1,713.60, 2,569.32 and 892.14

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Solution

The fourth proportional to 1,713.60, 2,569.32 and 892.14 is: 1,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.60 : 2,569.32 = 892.14 : x
  2. Step 2: Convert to fraction form
    1,713.60/2,569.32 = 892.14/x
  3. Step 3: Cross multiply
    1,713.60x = 2,569.32 × 892.14
  4. Step 4: Simplify right side
    1,713.60x = 2,292,193.14
  5. Step 5: Solve for x
    x = 2,292,193.14/1,713.60
  6. Step 6: Final answer
    x = 1,337.65

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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.