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Finding the Fourth Proportional to 3,044.10, 4,566.69 and 852.78

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Solution

The fourth proportional to 3,044.10, 4,566.69 and 852.78 is: 1,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.10 : 4,566.69 = 852.78 : x
  2. Step 2: Convert to fraction form
    3,044.10/4,566.69 = 852.78/x
  3. Step 3: Cross multiply
    3,044.10x = 4,566.69 × 852.78
  4. Step 4: Simplify right side
    3,044.10x = 3,894,381.90
  5. Step 5: Solve for x
    x = 3,894,381.90/3,044.10
  6. Step 6: Final answer
    x = 1,279.32

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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.