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Finding the Fourth Proportional to 2,332.49, 3,497.52 and 688.82

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Solution

The fourth proportional to 2,332.49, 3,497.52 and 688.82 is: 1,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.49 : 3,497.52 = 688.82 : x
  2. Step 2: Convert to fraction form
    2,332.49/3,497.52 = 688.82/x
  3. Step 3: Cross multiply
    2,332.49x = 3,497.52 × 688.82
  4. Step 4: Simplify right side
    2,332.49x = 2,409,144.24
  5. Step 5: Solve for x
    x = 2,409,144.24/2,332.49
  6. Step 6: Final answer
    x = 1,032.87

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