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Finding the Fourth Proportional to 2,648.85, 3,672.89 and 2,561.04

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Solution

The fourth proportional to 2,648.85, 3,672.89 and 2,561.04 is: 3,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.85 : 3,672.89 = 2,561.04 : x
  2. Step 2: Convert to fraction form
    2,648.85/3,672.89 = 2,561.04/x
  3. Step 3: Cross multiply
    2,648.85x = 3,672.89 × 2,561.04
  4. Step 4: Simplify right side
    2,648.85x = 9,406,418.21
  5. Step 5: Solve for x
    x = 9,406,418.21/2,648.85
  6. Step 6: Final answer
    x = 3,551.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.