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Finding the Fourth Proportional to 2,294.38, 3,441.60 and 563

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Solution

The fourth proportional to 2,294.38, 3,441.60 and 563 is: 844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.38 : 3,441.60 = 563 : x
  2. Step 2: Convert to fraction form
    2,294.38/3,441.60 = 563/x
  3. Step 3: Cross multiply
    2,294.38x = 3,441.60 × 563
  4. Step 4: Simplify right side
    2,294.38x = 1,937,617.99
  5. Step 5: Solve for x
    x = 1,937,617.99/2,294.38
  6. Step 6: Final answer
    x = 844.51

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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.