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Finding the Fourth Proportional to 2,332.04, 3,498.72 and 688.72

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Solution

The fourth proportional to 2,332.04, 3,498.72 and 688.72 is: 1,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.04 : 3,498.72 = 688.72 : x
  2. Step 2: Convert to fraction form
    2,332.04/3,498.72 = 688.72/x
  3. Step 3: Cross multiply
    2,332.04x = 3,498.72 × 688.72
  4. Step 4: Simplify right side
    2,332.04x = 2,409,638.44
  5. Step 5: Solve for x
    x = 2,409,638.44/2,332.04
  6. Step 6: Final answer
    x = 1,033.27

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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.