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Finding the Fourth Proportional to 3,117.60, 4,302.19 and 1,791.28

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Solution

The fourth proportional to 3,117.60, 4,302.19 and 1,791.28 is: 2,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.60 : 4,302.19 = 1,791.28 : x
  2. Step 2: Convert to fraction form
    3,117.60/4,302.19 = 1,791.28/x
  3. Step 3: Cross multiply
    3,117.60x = 4,302.19 × 1,791.28
  4. Step 4: Simplify right side
    3,117.60x = 7,706,434.52
  5. Step 5: Solve for x
    x = 7,706,434.52/3,117.60
  6. Step 6: Final answer
    x = 2,471.91

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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.