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Finding the Fourth Proportional to 2,332.06, 3,498.24 and 688.56

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Solution

The fourth proportional to 2,332.06, 3,498.24 and 688.56 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.06 : 3,498.24 = 688.56 : x
  2. Step 2: Convert to fraction form
    2,332.06/3,498.24 = 688.56/x
  3. Step 3: Cross multiply
    2,332.06x = 3,498.24 × 688.56
  4. Step 4: Simplify right side
    2,332.06x = 2,408,748.13
  5. Step 5: Solve for x
    x = 2,408,748.13/2,332.06
  6. Step 6: Final answer
    x = 1,032.88

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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.