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Finding the Fourth Proportional to 2,281.69, 3,149.04 and 1,287.01

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Solution

The fourth proportional to 2,281.69, 3,149.04 and 1,287.01 is: 1,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.69 : 3,149.04 = 1,287.01 : x
  2. Step 2: Convert to fraction form
    2,281.69/3,149.04 = 1,287.01/x
  3. Step 3: Cross multiply
    2,281.69x = 3,149.04 × 1,287.01
  4. Step 4: Simplify right side
    2,281.69x = 4,052,845.97
  5. Step 5: Solve for x
    x = 4,052,845.97/2,281.69
  6. Step 6: Final answer
    x = 1,776.25

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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.