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Finding the Fourth Proportional to 3,151.97, 4,725.20 and 1,205.54

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Solution

The fourth proportional to 3,151.97, 4,725.20 and 1,205.54 is: 1,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.97 : 4,725.20 = 1,205.54 : x
  2. Step 2: Convert to fraction form
    3,151.97/4,725.20 = 1,205.54/x
  3. Step 3: Cross multiply
    3,151.97x = 4,725.20 × 1,205.54
  4. Step 4: Simplify right side
    3,151.97x = 5,696,387.95
  5. Step 5: Solve for x
    x = 5,696,387.95/3,151.97
  6. Step 6: Final answer
    x = 1,807.25

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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.