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Finding the Fourth Proportional to 1,791.72, 2,470.77 and 1,287.90

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Solution

The fourth proportional to 1,791.72, 2,470.77 and 1,287.90 is: 1,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.72 : 2,470.77 = 1,287.90 : x
  2. Step 2: Convert to fraction form
    1,791.72/2,470.77 = 1,287.90/x
  3. Step 3: Cross multiply
    1,791.72x = 2,470.77 × 1,287.90
  4. Step 4: Simplify right side
    1,791.72x = 3,182,104.68
  5. Step 5: Solve for x
    x = 3,182,104.68/1,791.72
  6. Step 6: Final answer
    x = 1,776.01

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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.