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Finding the Fourth Proportional to 2,709.86, 4,047.57 and 2,449.44

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Solution

The fourth proportional to 2,709.86, 4,047.57 and 2,449.44 is: 3,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.86 : 4,047.57 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    2,709.86/4,047.57 = 2,449.44/x
  3. Step 3: Cross multiply
    2,709.86x = 4,047.57 × 2,449.44
  4. Step 4: Simplify right side
    2,709.86x = 9,914,279.86
  5. Step 5: Solve for x
    x = 9,914,279.86/2,709.86
  6. Step 6: Final answer
    x = 3,658.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.