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Finding the Fourth Proportional to 3,242.29, 4,472.76 and 2,063.74

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Solution

The fourth proportional to 3,242.29, 4,472.76 and 2,063.74 is: 2,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.29 : 4,472.76 = 2,063.74 : x
  2. Step 2: Convert to fraction form
    3,242.29/4,472.76 = 2,063.74/x
  3. Step 3: Cross multiply
    3,242.29x = 4,472.76 × 2,063.74
  4. Step 4: Simplify right side
    3,242.29x = 9,230,613.72
  5. Step 5: Solve for x
    x = 9,230,613.72/3,242.29
  6. Step 6: Final answer
    x = 2,846.94

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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.