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Finding the Fourth Proportional to 2,329.53, 3,494.79 and 686.13

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Solution

The fourth proportional to 2,329.53, 3,494.79 and 686.13 is: 1,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.53 : 3,494.79 = 686.13 : x
  2. Step 2: Convert to fraction form
    2,329.53/3,494.79 = 686.13/x
  3. Step 3: Cross multiply
    2,329.53x = 3,494.79 × 686.13
  4. Step 4: Simplify right side
    2,329.53x = 2,397,880.26
  5. Step 5: Solve for x
    x = 2,397,880.26/2,329.53
  6. Step 6: Final answer
    x = 1,029.34

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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.