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Finding the Fourth Proportional to 2,047.24, 3,068.57 and 814.32

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Solution

The fourth proportional to 2,047.24, 3,068.57 and 814.32 is: 1,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.24 : 3,068.57 = 814.32 : x
  2. Step 2: Convert to fraction form
    2,047.24/3,068.57 = 814.32/x
  3. Step 3: Cross multiply
    2,047.24x = 3,068.57 × 814.32
  4. Step 4: Simplify right side
    2,047.24x = 2,498,793.85
  5. Step 5: Solve for x
    x = 2,498,793.85/2,047.24
  6. Step 6: Final answer
    x = 1,220.57

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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.