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Finding the Fourth Proportional to 2,877.38, 4,316.88 and 2,098.16

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Solution

The fourth proportional to 2,877.38, 4,316.88 and 2,098.16 is: 3,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.38 : 4,316.88 = 2,098.16 : x
  2. Step 2: Convert to fraction form
    2,877.38/4,316.88 = 2,098.16/x
  3. Step 3: Cross multiply
    2,877.38x = 4,316.88 × 2,098.16
  4. Step 4: Simplify right side
    2,877.38x = 9,057,504.94
  5. Step 5: Solve for x
    x = 9,057,504.94/2,877.38
  6. Step 6: Final answer
    x = 3,147.83

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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.