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Finding the Fourth Proportional to 2,325.52, 3,488.82 and 1,352.44

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Solution

The fourth proportional to 2,325.52, 3,488.82 and 1,352.44 is: 2,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.52 : 3,488.82 = 1,352.44 : x
  2. Step 2: Convert to fraction form
    2,325.52/3,488.82 = 1,352.44/x
  3. Step 3: Cross multiply
    2,325.52x = 3,488.82 × 1,352.44
  4. Step 4: Simplify right side
    2,325.52x = 4,718,419.72
  5. Step 5: Solve for x
    x = 4,718,419.72/2,325.52
  6. Step 6: Final answer
    x = 2,028.97

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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.