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Finding the Fourth Proportional to 2,711.49, 4,063.56 and 1,228.86

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Solution

The fourth proportional to 2,711.49, 4,063.56 and 1,228.86 is: 1,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.49 : 4,063.56 = 1,228.86 : x
  2. Step 2: Convert to fraction form
    2,711.49/4,063.56 = 1,228.86/x
  3. Step 3: Cross multiply
    2,711.49x = 4,063.56 × 1,228.86
  4. Step 4: Simplify right side
    2,711.49x = 4,993,566.19
  5. Step 5: Solve for x
    x = 4,993,566.19/2,711.49
  6. Step 6: Final answer
    x = 1,841.63

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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.