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Finding the Fourth Proportional to 3,114.73, 4,671.14 and 1,034.19

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Solution

The fourth proportional to 3,114.73, 4,671.14 and 1,034.19 is: 1,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.73 : 4,671.14 = 1,034.19 : x
  2. Step 2: Convert to fraction form
    3,114.73/4,671.14 = 1,034.19/x
  3. Step 3: Cross multiply
    3,114.73x = 4,671.14 × 1,034.19
  4. Step 4: Simplify right side
    3,114.73x = 4,830,862.97
  5. Step 5: Solve for x
    x = 4,830,862.97/3,114.73
  6. Step 6: Final answer
    x = 1,550.97

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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.