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Finding the Fourth Proportional to 2,648.88, 3,970.73 and 1,261.85

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Solution

The fourth proportional to 2,648.88, 3,970.73 and 1,261.85 is: 1,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.88 : 3,970.73 = 1,261.85 : x
  2. Step 2: Convert to fraction form
    2,648.88/3,970.73 = 1,261.85/x
  3. Step 3: Cross multiply
    2,648.88x = 3,970.73 × 1,261.85
  4. Step 4: Simplify right side
    2,648.88x = 5,010,439.49
  5. Step 5: Solve for x
    x = 5,010,439.49/2,648.88
  6. Step 6: Final answer
    x = 1,891.53

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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.