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Finding the Fourth Proportional to 3,248.44, 4,872.42 and 1,299.40

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Solution

The fourth proportional to 3,248.44, 4,872.42 and 1,299.40 is: 1,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.44 : 4,872.42 = 1,299.40 : x
  2. Step 2: Convert to fraction form
    3,248.44/4,872.42 = 1,299.40/x
  3. Step 3: Cross multiply
    3,248.44x = 4,872.42 × 1,299.40
  4. Step 4: Simplify right side
    3,248.44x = 6,331,222.55
  5. Step 5: Solve for x
    x = 6,331,222.55/3,248.44
  6. Step 6: Final answer
    x = 1,949.00

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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.