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Finding the Fourth Proportional to 1,713.87, 2,572.14 and 892.35

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Solution

The fourth proportional to 1,713.87, 2,572.14 and 892.35 is: 1,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.87 : 2,572.14 = 892.35 : x
  2. Step 2: Convert to fraction form
    1,713.87/2,572.14 = 892.35/x
  3. Step 3: Cross multiply
    1,713.87x = 2,572.14 × 892.35
  4. Step 4: Simplify right side
    1,713.87x = 2,295,249.13
  5. Step 5: Solve for x
    x = 2,295,249.13/1,713.87
  6. Step 6: Final answer
    x = 1,339.22

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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.