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Finding the Fourth Proportional to 1,743.45, 2,613.24 and 688.98

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Solution

The fourth proportional to 1,743.45, 2,613.24 and 688.98 is: 1,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.45 : 2,613.24 = 688.98 : x
  2. Step 2: Convert to fraction form
    1,743.45/2,613.24 = 688.98/x
  3. Step 3: Cross multiply
    1,743.45x = 2,613.24 × 688.98
  4. Step 4: Simplify right side
    1,743.45x = 1,800,470.10
  5. Step 5: Solve for x
    x = 1,800,470.10/1,743.45
  6. Step 6: Final answer
    x = 1,032.71

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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.