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Finding the Fourth Proportional to 3,114.26, 4,671.38 and 1,062.26

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Solution

The fourth proportional to 3,114.26, 4,671.38 and 1,062.26 is: 1,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.26 : 4,671.38 = 1,062.26 : x
  2. Step 2: Convert to fraction form
    3,114.26/4,671.38 = 1,062.26/x
  3. Step 3: Cross multiply
    3,114.26x = 4,671.38 × 1,062.26
  4. Step 4: Simplify right side
    3,114.26x = 4,962,220.12
  5. Step 5: Solve for x
    x = 4,962,220.12/3,114.26
  6. Step 6: Final answer
    x = 1,593.39

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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.