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Finding the Fourth Proportional to 3,117.80, 4,302.71 and 1,791.92

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Solution

The fourth proportional to 3,117.80, 4,302.71 and 1,791.92 is: 2,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.80 : 4,302.71 = 1,791.92 : x
  2. Step 2: Convert to fraction form
    3,117.80/4,302.71 = 1,791.92/x
  3. Step 3: Cross multiply
    3,117.80x = 4,302.71 × 1,791.92
  4. Step 4: Simplify right side
    3,117.80x = 7,710,103.14
  5. Step 5: Solve for x
    x = 7,710,103.14/3,117.80
  6. Step 6: Final answer
    x = 2,472.93

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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.