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Finding the Fourth Proportional to 3,116.87, 4,673.94 and 1,167.71

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Solution

The fourth proportional to 3,116.87, 4,673.94 and 1,167.71 is: 1,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.87 : 4,673.94 = 1,167.71 : x
  2. Step 2: Convert to fraction form
    3,116.87/4,673.94 = 1,167.71/x
  3. Step 3: Cross multiply
    3,116.87x = 4,673.94 × 1,167.71
  4. Step 4: Simplify right side
    3,116.87x = 5,457,818.16
  5. Step 5: Solve for x
    x = 5,457,818.16/3,116.87
  6. Step 6: Final answer
    x = 1,751.06

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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.