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Finding the Fourth Proportional to 3,244.59, 4,865.67 and 1,512

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Solution

The fourth proportional to 3,244.59, 4,865.67 and 1,512 is: 2,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.59 : 4,865.67 = 1,512 : x
  2. Step 2: Convert to fraction form
    3,244.59/4,865.67 = 1,512/x
  3. Step 3: Cross multiply
    3,244.59x = 4,865.67 × 1,512
  4. Step 4: Simplify right side
    3,244.59x = 7,356,893.04
  5. Step 5: Solve for x
    x = 7,356,893.04/3,244.59
  6. Step 6: Final answer
    x = 2,267.43

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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.