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Finding the Fourth Proportional to 2,876.88, 4,316.13 and 2,097.66

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Solution

The fourth proportional to 2,876.88, 4,316.13 and 2,097.66 is: 3,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.88 : 4,316.13 = 2,097.66 : x
  2. Step 2: Convert to fraction form
    2,876.88/4,316.13 = 2,097.66/x
  3. Step 3: Cross multiply
    2,876.88x = 4,316.13 × 2,097.66
  4. Step 4: Simplify right side
    2,876.88x = 9,053,773.26
  5. Step 5: Solve for x
    x = 9,053,773.26/2,876.88
  6. Step 6: Final answer
    x = 3,147.08

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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.