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Finding the Fourth Proportional to 3,143.50, 4,722.21 and 2,049.58

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Solution

The fourth proportional to 3,143.50, 4,722.21 and 2,049.58 is: 3,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.50 : 4,722.21 = 2,049.58 : x
  2. Step 2: Convert to fraction form
    3,143.50/4,722.21 = 2,049.58/x
  3. Step 3: Cross multiply
    3,143.50x = 4,722.21 × 2,049.58
  4. Step 4: Simplify right side
    3,143.50x = 9,678,547.17
  5. Step 5: Solve for x
    x = 9,678,547.17/3,143.50
  6. Step 6: Final answer
    x = 3,078.91

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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.