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Finding the Fourth Proportional to 2,816.40, 4,223.19 and 868.35

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Solution

The fourth proportional to 2,816.40, 4,223.19 and 868.35 is: 1,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.40 : 4,223.19 = 868.35 : x
  2. Step 2: Convert to fraction form
    2,816.40/4,223.19 = 868.35/x
  3. Step 3: Cross multiply
    2,816.40x = 4,223.19 × 868.35
  4. Step 4: Simplify right side
    2,816.40x = 3,667,207.04
  5. Step 5: Solve for x
    x = 3,667,207.04/2,816.40
  6. Step 6: Final answer
    x = 1,302.09

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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.