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Finding the Fourth Proportional to 3,116.97, 4,672.58 and 1,167.93

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Solution

The fourth proportional to 3,116.97, 4,672.58 and 1,167.93 is: 1,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.97 : 4,672.58 = 1,167.93 : x
  2. Step 2: Convert to fraction form
    3,116.97/4,672.58 = 1,167.93/x
  3. Step 3: Cross multiply
    3,116.97x = 4,672.58 × 1,167.93
  4. Step 4: Simplify right side
    3,116.97x = 5,457,240.52
  5. Step 5: Solve for x
    x = 5,457,240.52/3,116.97
  6. Step 6: Final answer
    x = 1,750.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.