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Finding the Fourth Proportional to 2,294.16, 3,441.24 and 994.86

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Solution

The fourth proportional to 2,294.16, 3,441.24 and 994.86 is: 1,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.16 : 3,441.24 = 994.86 : x
  2. Step 2: Convert to fraction form
    2,294.16/3,441.24 = 994.86/x
  3. Step 3: Cross multiply
    2,294.16x = 3,441.24 × 994.86
  4. Step 4: Simplify right side
    2,294.16x = 3,423,552.03
  5. Step 5: Solve for x
    x = 3,423,552.03/2,294.16
  6. Step 6: Final answer
    x = 1,492.29

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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.