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Finding the Fourth Proportional to 2,766.18, 4,149.29 and 2,278.23

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Solution

The fourth proportional to 2,766.18, 4,149.29 and 2,278.23 is: 3,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.18 : 4,149.29 = 2,278.23 : x
  2. Step 2: Convert to fraction form
    2,766.18/4,149.29 = 2,278.23/x
  3. Step 3: Cross multiply
    2,766.18x = 4,149.29 × 2,278.23
  4. Step 4: Simplify right side
    2,766.18x = 9,453,036.96
  5. Step 5: Solve for x
    x = 9,453,036.96/2,766.18
  6. Step 6: Final answer
    x = 3,417.36

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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.