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Finding the Fourth Proportional to 2,332.92, 3,217.97 and 2,053.17

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Solution

The fourth proportional to 2,332.92, 3,217.97 and 2,053.17 is: 2,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.92 : 3,217.97 = 2,053.17 : x
  2. Step 2: Convert to fraction form
    2,332.92/3,217.97 = 2,053.17/x
  3. Step 3: Cross multiply
    2,332.92x = 3,217.97 × 2,053.17
  4. Step 4: Simplify right side
    2,332.92x = 6,607,029.20
  5. Step 5: Solve for x
    x = 6,607,029.20/2,332.92
  6. Step 6: Final answer
    x = 2,832.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.