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Finding the Fourth Proportional to 2,912.54, 4,370.04 and 1,432.86

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Solution

The fourth proportional to 2,912.54, 4,370.04 and 1,432.86 is: 2,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.54 : 4,370.04 = 1,432.86 : x
  2. Step 2: Convert to fraction form
    2,912.54/4,370.04 = 1,432.86/x
  3. Step 3: Cross multiply
    2,912.54x = 4,370.04 × 1,432.86
  4. Step 4: Simplify right side
    2,912.54x = 6,261,655.51
  5. Step 5: Solve for x
    x = 6,261,655.51/2,912.54
  6. Step 6: Final answer
    x = 2,149.90

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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.