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Finding the Fourth Proportional to 2,432.52, 3,649.41 and 1,393.02

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Solution

The fourth proportional to 2,432.52, 3,649.41 and 1,393.02 is: 2,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.52 : 3,649.41 = 1,393.02 : x
  2. Step 2: Convert to fraction form
    2,432.52/3,649.41 = 1,393.02/x
  3. Step 3: Cross multiply
    2,432.52x = 3,649.41 × 1,393.02
  4. Step 4: Simplify right side
    2,432.52x = 5,083,701.12
  5. Step 5: Solve for x
    x = 5,083,701.12/2,432.52
  6. Step 6: Final answer
    x = 2,089.89

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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.