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Finding the Fourth Proportional to 2,149.90, 2,966.86 and 1,253.68

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Solution

The fourth proportional to 2,149.90, 2,966.86 and 1,253.68 is: 1,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.90 : 2,966.86 = 1,253.68 : x
  2. Step 2: Convert to fraction form
    2,149.90/2,966.86 = 1,253.68/x
  3. Step 3: Cross multiply
    2,149.90x = 2,966.86 × 1,253.68
  4. Step 4: Simplify right side
    2,149.90x = 3,719,487.19
  5. Step 5: Solve for x
    x = 3,719,487.19/2,149.90
  6. Step 6: Final answer
    x = 1,730.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.