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Finding the Fourth Proportional to 3,244.52, 4,867.02 and 1,023.64

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Solution

The fourth proportional to 3,244.52, 4,867.02 and 1,023.64 is: 1,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.52 : 4,867.02 = 1,023.64 : x
  2. Step 2: Convert to fraction form
    3,244.52/4,867.02 = 1,023.64/x
  3. Step 3: Cross multiply
    3,244.52x = 4,867.02 × 1,023.64
  4. Step 4: Simplify right side
    3,244.52x = 4,982,064.19
  5. Step 5: Solve for x
    x = 4,982,064.19/3,244.52
  6. Step 6: Final answer
    x = 1,535.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.