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Finding the Fourth Proportional to 3,309.96, 4,565.48 and 2,049.74

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Solution

The fourth proportional to 3,309.96, 4,565.48 and 2,049.74 is: 2,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.96 : 4,565.48 = 2,049.74 : x
  2. Step 2: Convert to fraction form
    3,309.96/4,565.48 = 2,049.74/x
  3. Step 3: Cross multiply
    3,309.96x = 4,565.48 × 2,049.74
  4. Step 4: Simplify right side
    3,309.96x = 9,358,013.90
  5. Step 5: Solve for x
    x = 9,358,013.90/3,309.96
  6. Step 6: Final answer
    x = 2,827.23

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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.