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Finding the Fourth Proportional to 3,117.50, 4,302.12 and 1,791.16

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Solution

The fourth proportional to 3,117.50, 4,302.12 and 1,791.16 is: 2,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.50 : 4,302.12 = 1,791.16 : x
  2. Step 2: Convert to fraction form
    3,117.50/4,302.12 = 1,791.16/x
  3. Step 3: Cross multiply
    3,117.50x = 4,302.12 × 1,791.16
  4. Step 4: Simplify right side
    3,117.50x = 7,705,785.26
  5. Step 5: Solve for x
    x = 7,705,785.26/3,117.50
  6. Step 6: Final answer
    x = 2,471.78

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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.