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Finding the Fourth Proportional to 3,117.97, 4,302.80 and 1,791.64

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Solution

The fourth proportional to 3,117.97, 4,302.80 and 1,791.64 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.97 : 4,302.80 = 1,791.64 : x
  2. Step 2: Convert to fraction form
    3,117.97/4,302.80 = 1,791.64/x
  3. Step 3: Cross multiply
    3,117.97x = 4,302.80 × 1,791.64
  4. Step 4: Simplify right side
    3,117.97x = 7,709,068.59
  5. Step 5: Solve for x
    x = 7,709,068.59/3,117.97
  6. Step 6: Final answer
    x = 2,472.46

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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.