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Finding the Fourth Proportional to 3,245.27, 4,867.71 and 1,024.06

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Solution

The fourth proportional to 3,245.27, 4,867.71 and 1,024.06 is: 1,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.27 : 4,867.71 = 1,024.06 : x
  2. Step 2: Convert to fraction form
    3,245.27/4,867.71 = 1,024.06/x
  3. Step 3: Cross multiply
    3,245.27x = 4,867.71 × 1,024.06
  4. Step 4: Simplify right side
    3,245.27x = 4,984,801.12
  5. Step 5: Solve for x
    x = 4,984,801.12/3,245.27
  6. Step 6: Final answer
    x = 1,536.02

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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.