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Finding the Fourth Proportional to 2,365.46, 3,264.29 and 1,481.75

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Solution

The fourth proportional to 2,365.46, 3,264.29 and 1,481.75 is: 2,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.46 : 3,264.29 = 1,481.75 : x
  2. Step 2: Convert to fraction form
    2,365.46/3,264.29 = 1,481.75/x
  3. Step 3: Cross multiply
    2,365.46x = 3,264.29 × 1,481.75
  4. Step 4: Simplify right side
    2,365.46x = 4,836,861.71
  5. Step 5: Solve for x
    x = 4,836,861.71/2,365.46
  6. Step 6: Final answer
    x = 2,044.79

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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.