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Finding the Fourth Proportional to 2,731.78, 4,097.14 and 1,250.68

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Solution

The fourth proportional to 2,731.78, 4,097.14 and 1,250.68 is: 1,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.78 : 4,097.14 = 1,250.68 : x
  2. Step 2: Convert to fraction form
    2,731.78/4,097.14 = 1,250.68/x
  3. Step 3: Cross multiply
    2,731.78x = 4,097.14 × 1,250.68
  4. Step 4: Simplify right side
    2,731.78x = 5,124,211.06
  5. Step 5: Solve for x
    x = 5,124,211.06/2,731.78
  6. Step 6: Final answer
    x = 1,875.78

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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.