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Finding the Fourth Proportional to 2,325.52, 3,488.71 and 765.61

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Solution

The fourth proportional to 2,325.52, 3,488.71 and 765.61 is: 1,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.52 : 3,488.71 = 765.61 : x
  2. Step 2: Convert to fraction form
    2,325.52/3,488.71 = 765.61/x
  3. Step 3: Cross multiply
    2,325.52x = 3,488.71 × 765.61
  4. Step 4: Simplify right side
    2,325.52x = 2,670,991.26
  5. Step 5: Solve for x
    x = 2,670,991.26/2,325.52
  6. Step 6: Final answer
    x = 1,148.56

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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.