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Finding the Fourth Proportional to 3,242.84, 4,863 and 2,720.40

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Solution

The fourth proportional to 3,242.84, 4,863 and 2,720.40 is: 4,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.84 : 4,863 = 2,720.40 : x
  2. Step 2: Convert to fraction form
    3,242.84/4,863 = 2,720.40/x
  3. Step 3: Cross multiply
    3,242.84x = 4,863 × 2,720.40
  4. Step 4: Simplify right side
    3,242.84x = 13,229,305.20
  5. Step 5: Solve for x
    x = 13,229,305.20/3,242.84
  6. Step 6: Final answer
    x = 4,079.54

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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.