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Finding the Fourth Proportional to 2,251.50, 3,378.99 and 1,563

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Solution

The fourth proportional to 2,251.50, 3,378.99 and 1,563 is: 2,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.50 : 3,378.99 = 1,563 : x
  2. Step 2: Convert to fraction form
    2,251.50/3,378.99 = 1,563/x
  3. Step 3: Cross multiply
    2,251.50x = 3,378.99 × 1,563
  4. Step 4: Simplify right side
    2,251.50x = 5,281,361.37
  5. Step 5: Solve for x
    x = 5,281,361.37/2,251.50
  6. Step 6: Final answer
    x = 2,345.71

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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.