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Finding the Fourth Proportional to 2,432.81, 3,649.49 and 2,100.44

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Solution

The fourth proportional to 2,432.81, 3,649.49 and 2,100.44 is: 3,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.81 : 3,649.49 = 2,100.44 : x
  2. Step 2: Convert to fraction form
    2,432.81/3,649.49 = 2,100.44/x
  3. Step 3: Cross multiply
    2,432.81x = 3,649.49 × 2,100.44
  4. Step 4: Simplify right side
    2,432.81x = 7,665,534.78
  5. Step 5: Solve for x
    x = 7,665,534.78/2,432.81
  6. Step 6: Final answer
    x = 3,150.90

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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.