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Finding the Fourth Proportional to 3,044.28, 4,565.90 and 852.49

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Solution

The fourth proportional to 3,044.28, 4,565.90 and 852.49 is: 1,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.28 : 4,565.90 = 852.49 : x
  2. Step 2: Convert to fraction form
    3,044.28/4,565.90 = 852.49/x
  3. Step 3: Cross multiply
    3,044.28x = 4,565.90 × 852.49
  4. Step 4: Simplify right side
    3,044.28x = 3,892,391.93
  5. Step 5: Solve for x
    x = 3,892,391.93/3,044.28
  6. Step 6: Final answer
    x = 1,278.59

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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.