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Finding the Fourth Proportional to 2,927.81, 4,387.56 and 2,266.61

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Solution

The fourth proportional to 2,927.81, 4,387.56 and 2,266.61 is: 3,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.81 : 4,387.56 = 2,266.61 : x
  2. Step 2: Convert to fraction form
    2,927.81/4,387.56 = 2,266.61/x
  3. Step 3: Cross multiply
    2,927.81x = 4,387.56 × 2,266.61
  4. Step 4: Simplify right side
    2,927.81x = 9,944,856.93
  5. Step 5: Solve for x
    x = 9,944,856.93/2,927.81
  6. Step 6: Final answer
    x = 3,396.69

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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.