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Finding the Fourth Proportional to 2,876.38, 4,315.38 and 2,097.16

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Solution

The fourth proportional to 2,876.38, 4,315.38 and 2,097.16 is: 3,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.38 : 4,315.38 = 2,097.16 : x
  2. Step 2: Convert to fraction form
    2,876.38/4,315.38 = 2,097.16/x
  3. Step 3: Cross multiply
    2,876.38x = 4,315.38 × 2,097.16
  4. Step 4: Simplify right side
    2,876.38x = 9,050,042.32
  5. Step 5: Solve for x
    x = 9,050,042.32/2,876.38
  6. Step 6: Final answer
    x = 3,146.33

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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.