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Finding the Fourth Proportional to 3,266.24, 4,899.15 and 1,076.40

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Solution

The fourth proportional to 3,266.24, 4,899.15 and 1,076.40 is: 1,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.24 : 4,899.15 = 1,076.40 : x
  2. Step 2: Convert to fraction form
    3,266.24/4,899.15 = 1,076.40/x
  3. Step 3: Cross multiply
    3,266.24x = 4,899.15 × 1,076.40
  4. Step 4: Simplify right side
    3,266.24x = 5,273,445.06
  5. Step 5: Solve for x
    x = 5,273,445.06/3,266.24
  6. Step 6: Final answer
    x = 1,614.53

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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.