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Finding the Fourth Proportional to 2,332.30, 3,496.92 and 996.52

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Solution

The fourth proportional to 2,332.30, 3,496.92 and 996.52 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.30 : 3,496.92 = 996.52 : x
  2. Step 2: Convert to fraction form
    2,332.30/3,496.92 = 996.52/x
  3. Step 3: Cross multiply
    2,332.30x = 3,496.92 × 996.52
  4. Step 4: Simplify right side
    2,332.30x = 3,484,750.72
  5. Step 5: Solve for x
    x = 3,484,750.72/2,332.30
  6. Step 6: Final answer
    x = 1,494.13

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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.