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Finding the Fourth Proportional to 1,648.28, 2,469.78 and 868.25

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Solution

The fourth proportional to 1,648.28, 2,469.78 and 868.25 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.28 : 2,469.78 = 868.25 : x
  2. Step 2: Convert to fraction form
    1,648.28/2,469.78 = 868.25/x
  3. Step 3: Cross multiply
    1,648.28x = 2,469.78 × 868.25
  4. Step 4: Simplify right side
    1,648.28x = 2,144,374.14
  5. Step 5: Solve for x
    x = 2,144,374.14/1,648.28
  6. Step 6: Final answer
    x = 1,300.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.