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Finding the Fourth Proportional to 3,101.96, 4,280.48 and 1,842.96

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Solution

The fourth proportional to 3,101.96, 4,280.48 and 1,842.96 is: 2,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.96 : 4,280.48 = 1,842.96 : x
  2. Step 2: Convert to fraction form
    3,101.96/4,280.48 = 1,842.96/x
  3. Step 3: Cross multiply
    3,101.96x = 4,280.48 × 1,842.96
  4. Step 4: Simplify right side
    3,101.96x = 7,888,753.42
  5. Step 5: Solve for x
    x = 7,888,753.42/3,101.96
  6. Step 6: Final answer
    x = 2,543.15

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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.