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Finding the Fourth Proportional to 2,329.52, 3,493.72 and 685.62

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Solution

The fourth proportional to 2,329.52, 3,493.72 and 685.62 is: 1,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.52 : 3,493.72 = 685.62 : x
  2. Step 2: Convert to fraction form
    2,329.52/3,493.72 = 685.62/x
  3. Step 3: Cross multiply
    2,329.52x = 3,493.72 × 685.62
  4. Step 4: Simplify right side
    2,329.52x = 2,395,364.31
  5. Step 5: Solve for x
    x = 2,395,364.31/2,329.52
  6. Step 6: Final answer
    x = 1,028.27

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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.