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Finding the Fourth Proportional to 2,191.46, 3,024.14 and 1,306.80

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Solution

The fourth proportional to 2,191.46, 3,024.14 and 1,306.80 is: 1,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.46 : 3,024.14 = 1,306.80 : x
  2. Step 2: Convert to fraction form
    2,191.46/3,024.14 = 1,306.80/x
  3. Step 3: Cross multiply
    2,191.46x = 3,024.14 × 1,306.80
  4. Step 4: Simplify right side
    2,191.46x = 3,951,939.62
  5. Step 5: Solve for x
    x = 3,951,939.62/2,191.46
  6. Step 6: Final answer
    x = 1,803.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.