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Finding the Fourth Proportional to 3,116.56, 4,675.74 and 1,168.90

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Solution

The fourth proportional to 3,116.56, 4,675.74 and 1,168.90 is: 1,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.56 : 4,675.74 = 1,168.90 : x
  2. Step 2: Convert to fraction form
    3,116.56/4,675.74 = 1,168.90/x
  3. Step 3: Cross multiply
    3,116.56x = 4,675.74 × 1,168.90
  4. Step 4: Simplify right side
    3,116.56x = 5,465,472.49
  5. Step 5: Solve for x
    x = 5,465,472.49/3,116.56
  6. Step 6: Final answer
    x = 1,753.69

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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.