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Finding the Fourth Proportional to 2,294.28, 3,440.91 and 650.46

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Solution

The fourth proportional to 2,294.28, 3,440.91 and 650.46 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.28 : 3,440.91 = 650.46 : x
  2. Step 2: Convert to fraction form
    2,294.28/3,440.91 = 650.46/x
  3. Step 3: Cross multiply
    2,294.28x = 3,440.91 × 650.46
  4. Step 4: Simplify right side
    2,294.28x = 2,238,174.32
  5. Step 5: Solve for x
    x = 2,238,174.32/2,294.28
  6. Step 6: Final answer
    x = 975.55

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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.