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Finding the Fourth Proportional to 2,816.40, 4,224.32 and 868.08

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Solution

The fourth proportional to 2,816.40, 4,224.32 and 868.08 is: 1,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.40 : 4,224.32 = 868.08 : x
  2. Step 2: Convert to fraction form
    2,816.40/4,224.32 = 868.08/x
  3. Step 3: Cross multiply
    2,816.40x = 4,224.32 × 868.08
  4. Step 4: Simplify right side
    2,816.40x = 3,667,026.58
  5. Step 5: Solve for x
    x = 3,667,026.58/2,816.40
  6. Step 6: Final answer
    x = 1,302.03

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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.