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Finding the Fourth Proportional to 2,294.32, 3,440.64 and 833.04

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Solution

The fourth proportional to 2,294.32, 3,440.64 and 833.04 is: 1,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.32 : 3,440.64 = 833.04 : x
  2. Step 2: Convert to fraction form
    2,294.32/3,440.64 = 833.04/x
  3. Step 3: Cross multiply
    2,294.32x = 3,440.64 × 833.04
  4. Step 4: Simplify right side
    2,294.32x = 2,866,190.75
  5. Step 5: Solve for x
    x = 2,866,190.75/2,294.32
  6. Step 6: Final answer
    x = 1,249.26

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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.