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Finding the Fourth Proportional to 2,432.35, 3,648.49 and 1,650.41

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Solution

The fourth proportional to 2,432.35, 3,648.49 and 1,650.41 is: 2,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.35 : 3,648.49 = 1,650.41 : x
  2. Step 2: Convert to fraction form
    2,432.35/3,648.49 = 1,650.41/x
  3. Step 3: Cross multiply
    2,432.35x = 3,648.49 × 1,650.41
  4. Step 4: Simplify right side
    2,432.35x = 6,021,504.38
  5. Step 5: Solve for x
    x = 6,021,504.38/2,432.35
  6. Step 6: Final answer
    x = 2,475.59

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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.