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Finding the Fourth Proportional to 2,294.16, 3,441.20 and 562.72

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Solution

The fourth proportional to 2,294.16, 3,441.20 and 562.72 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.16 : 3,441.20 = 562.72 : x
  2. Step 2: Convert to fraction form
    2,294.16/3,441.20 = 562.72/x
  3. Step 3: Cross multiply
    2,294.16x = 3,441.20 × 562.72
  4. Step 4: Simplify right side
    2,294.16x = 1,936,432.06
  5. Step 5: Solve for x
    x = 1,936,432.06/2,294.16
  6. Step 6: Final answer
    x = 844.07

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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.