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Finding the Fourth Proportional to 2,329.55, 3,494.34 and 686.12

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Solution

The fourth proportional to 2,329.55, 3,494.34 and 686.12 is: 1,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.55 : 3,494.34 = 686.12 : x
  2. Step 2: Convert to fraction form
    2,329.55/3,494.34 = 686.12/x
  3. Step 3: Cross multiply
    2,329.55x = 3,494.34 × 686.12
  4. Step 4: Simplify right side
    2,329.55x = 2,397,536.56
  5. Step 5: Solve for x
    x = 2,397,536.56/2,329.55
  6. Step 6: Final answer
    x = 1,029.18

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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.