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Finding the Fourth Proportional to 2,814.74, 3,881.17 and 2,289.78

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Solution

The fourth proportional to 2,814.74, 3,881.17 and 2,289.78 is: 3,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.74 : 3,881.17 = 2,289.78 : x
  2. Step 2: Convert to fraction form
    2,814.74/3,881.17 = 2,289.78/x
  3. Step 3: Cross multiply
    2,814.74x = 3,881.17 × 2,289.78
  4. Step 4: Simplify right side
    2,814.74x = 8,887,025.44
  5. Step 5: Solve for x
    x = 8,887,025.44/2,814.74
  6. Step 6: Final answer
    x = 3,157.32

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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.