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Finding the Fourth Proportional to 2,404.52, 3,615.42 and 1,972.52

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Solution

The fourth proportional to 2,404.52, 3,615.42 and 1,972.52 is: 2,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.52 : 3,615.42 = 1,972.52 : x
  2. Step 2: Convert to fraction form
    2,404.52/3,615.42 = 1,972.52/x
  3. Step 3: Cross multiply
    2,404.52x = 3,615.42 × 1,972.52
  4. Step 4: Simplify right side
    2,404.52x = 7,131,488.26
  5. Step 5: Solve for x
    x = 7,131,488.26/2,404.52
  6. Step 6: Final answer
    x = 2,965.87

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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.