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Finding the Fourth Proportional to 2,281.91, 3,149.01 and 1,287.09

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Solution

The fourth proportional to 2,281.91, 3,149.01 and 1,287.09 is: 1,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.91 : 3,149.01 = 1,287.09 : x
  2. Step 2: Convert to fraction form
    2,281.91/3,149.01 = 1,287.09/x
  3. Step 3: Cross multiply
    2,281.91x = 3,149.01 × 1,287.09
  4. Step 4: Simplify right side
    2,281.91x = 4,053,059.28
  5. Step 5: Solve for x
    x = 4,053,059.28/2,281.91
  6. Step 6: Final answer
    x = 1,776.17

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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.