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Finding the Fourth Proportional to 2,761.66, 4,141.14 and 813.34

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Solution

The fourth proportional to 2,761.66, 4,141.14 and 813.34 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.66 : 4,141.14 = 813.34 : x
  2. Step 2: Convert to fraction form
    2,761.66/4,141.14 = 813.34/x
  3. Step 3: Cross multiply
    2,761.66x = 4,141.14 × 813.34
  4. Step 4: Simplify right side
    2,761.66x = 3,368,154.81
  5. Step 5: Solve for x
    x = 3,368,154.81/2,761.66
  6. Step 6: Final answer
    x = 1,219.61

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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.