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Finding the Fourth Proportional to 1,474.86, 2,032.65 and 1,432.74

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Solution

The fourth proportional to 1,474.86, 2,032.65 and 1,432.74 is: 1,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.86 : 2,032.65 = 1,432.74 : x
  2. Step 2: Convert to fraction form
    1,474.86/2,032.65 = 1,432.74/x
  3. Step 3: Cross multiply
    1,474.86x = 2,032.65 × 1,432.74
  4. Step 4: Simplify right side
    1,474.86x = 2,912,258.96
  5. Step 5: Solve for x
    x = 2,912,258.96/1,474.86
  6. Step 6: Final answer
    x = 1,974.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.