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Finding the Fourth Proportional to 3,143.72, 4,714.78 and 1,844.52

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Solution

The fourth proportional to 3,143.72, 4,714.78 and 1,844.52 is: 2,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.72 : 4,714.78 = 1,844.52 : x
  2. Step 2: Convert to fraction form
    3,143.72/4,714.78 = 1,844.52/x
  3. Step 3: Cross multiply
    3,143.72x = 4,714.78 × 1,844.52
  4. Step 4: Simplify right side
    3,143.72x = 8,696,506.01
  5. Step 5: Solve for x
    x = 8,696,506.01/3,143.72
  6. Step 6: Final answer
    x = 2,766.31

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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.