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Finding the Fourth Proportional to 2,205.87, 3,044.25 and 1,458.53

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Solution

The fourth proportional to 2,205.87, 3,044.25 and 1,458.53 is: 2,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.87 : 3,044.25 = 1,458.53 : x
  2. Step 2: Convert to fraction form
    2,205.87/3,044.25 = 1,458.53/x
  3. Step 3: Cross multiply
    2,205.87x = 3,044.25 × 1,458.53
  4. Step 4: Simplify right side
    2,205.87x = 4,440,114.73
  5. Step 5: Solve for x
    x = 4,440,114.73/2,205.87
  6. Step 6: Final answer
    x = 2,012.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.