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Finding the Fourth Proportional to 3,114.66, 4,672.80 and 1,167.03

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Solution

The fourth proportional to 3,114.66, 4,672.80 and 1,167.03 is: 1,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.66 : 4,672.80 = 1,167.03 : x
  2. Step 2: Convert to fraction form
    3,114.66/4,672.80 = 1,167.03/x
  3. Step 3: Cross multiply
    3,114.66x = 4,672.80 × 1,167.03
  4. Step 4: Simplify right side
    3,114.66x = 5,453,297.78
  5. Step 5: Solve for x
    x = 5,453,297.78/3,114.66
  6. Step 6: Final answer
    x = 1,750.85

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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.