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Finding the Fourth Proportional to 2,731.17, 4,097.03 and 1,866.09

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Solution

The fourth proportional to 2,731.17, 4,097.03 and 1,866.09 is: 2,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.17 : 4,097.03 = 1,866.09 : x
  2. Step 2: Convert to fraction form
    2,731.17/4,097.03 = 1,866.09/x
  3. Step 3: Cross multiply
    2,731.17x = 4,097.03 × 1,866.09
  4. Step 4: Simplify right side
    2,731.17x = 7,645,417.38
  5. Step 5: Solve for x
    x = 7,645,417.38/2,731.17
  6. Step 6: Final answer
    x = 2,799.32

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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.