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Finding the Fourth Proportional to 2,281.98, 3,149.09 and 1,287.28

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Solution

The fourth proportional to 2,281.98, 3,149.09 and 1,287.28 is: 1,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.98 : 3,149.09 = 1,287.28 : x
  2. Step 2: Convert to fraction form
    2,281.98/3,149.09 = 1,287.28/x
  3. Step 3: Cross multiply
    2,281.98x = 3,149.09 × 1,287.28
  4. Step 4: Simplify right side
    2,281.98x = 4,053,762.90
  5. Step 5: Solve for x
    x = 4,053,762.90/2,281.98
  6. Step 6: Final answer
    x = 1,776.42

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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.