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Finding the Fourth Proportional to 3,147.68, 4,342.24 and 2,152.96

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Solution

The fourth proportional to 3,147.68, 4,342.24 and 2,152.96 is: 2,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.68 : 4,342.24 = 2,152.96 : x
  2. Step 2: Convert to fraction form
    3,147.68/4,342.24 = 2,152.96/x
  3. Step 3: Cross multiply
    3,147.68x = 4,342.24 × 2,152.96
  4. Step 4: Simplify right side
    3,147.68x = 9,348,669.03
  5. Step 5: Solve for x
    x = 9,348,669.03/3,147.68
  6. Step 6: Final answer
    x = 2,970.02

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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.