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Finding the Fourth Proportional to 3,043.71, 4,565.84 and 852.44

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Solution

The fourth proportional to 3,043.71, 4,565.84 and 852.44 is: 1,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.71 : 4,565.84 = 852.44 : x
  2. Step 2: Convert to fraction form
    3,043.71/4,565.84 = 852.44/x
  3. Step 3: Cross multiply
    3,043.71x = 4,565.84 × 852.44
  4. Step 4: Simplify right side
    3,043.71x = 3,892,077.56
  5. Step 5: Solve for x
    x = 3,892,077.56/3,043.71
  6. Step 6: Final answer
    x = 1,278.73

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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.