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Finding the Fourth Proportional to 2,432.78, 3,649.67 and 1,046.46

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Solution

The fourth proportional to 2,432.78, 3,649.67 and 1,046.46 is: 1,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.78 : 3,649.67 = 1,046.46 : x
  2. Step 2: Convert to fraction form
    2,432.78/3,649.67 = 1,046.46/x
  3. Step 3: Cross multiply
    2,432.78x = 3,649.67 × 1,046.46
  4. Step 4: Simplify right side
    2,432.78x = 3,819,236.28
  5. Step 5: Solve for x
    x = 3,819,236.28/2,432.78
  6. Step 6: Final answer
    x = 1,569.91

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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.