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Finding the Fourth Proportional to 2,502.32, 3,455.89 and 2,227.46

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Solution

The fourth proportional to 2,502.32, 3,455.89 and 2,227.46 is: 3,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.32 : 3,455.89 = 2,227.46 : x
  2. Step 2: Convert to fraction form
    2,502.32/3,455.89 = 2,227.46/x
  3. Step 3: Cross multiply
    2,502.32x = 3,455.89 × 2,227.46
  4. Step 4: Simplify right side
    2,502.32x = 7,697,856.74
  5. Step 5: Solve for x
    x = 7,697,856.74/2,502.32
  6. Step 6: Final answer
    x = 3,076.29

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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.