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Finding the Fourth Proportional to 2,816.80, 4,225.92 and 869.28

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Solution

The fourth proportional to 2,816.80, 4,225.92 and 869.28 is: 1,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.80 : 4,225.92 = 869.28 : x
  2. Step 2: Convert to fraction form
    2,816.80/4,225.92 = 869.28/x
  3. Step 3: Cross multiply
    2,816.80x = 4,225.92 × 869.28
  4. Step 4: Simplify right side
    2,816.80x = 3,673,507.74
  5. Step 5: Solve for x
    x = 3,673,507.74/2,816.80
  6. Step 6: Final answer
    x = 1,304.14

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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.