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Finding the Fourth Proportional to 2,332.16, 3,498.24 and 688.58

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Solution

The fourth proportional to 2,332.16, 3,498.24 and 688.58 is: 1,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.16 : 3,498.24 = 688.58 : x
  2. Step 2: Convert to fraction form
    2,332.16/3,498.24 = 688.58/x
  3. Step 3: Cross multiply
    2,332.16x = 3,498.24 × 688.58
  4. Step 4: Simplify right side
    2,332.16x = 2,408,797.17
  5. Step 5: Solve for x
    x = 2,408,797.17/2,332.16
  6. Step 6: Final answer
    x = 1,032.86

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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.