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Finding the Fourth Proportional to 2,816.84, 4,226.10 and 869.20

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Solution

The fourth proportional to 2,816.84, 4,226.10 and 869.20 is: 1,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.84 : 4,226.10 = 869.20 : x
  2. Step 2: Convert to fraction form
    2,816.84/4,226.10 = 869.20/x
  3. Step 3: Cross multiply
    2,816.84x = 4,226.10 × 869.20
  4. Step 4: Simplify right side
    2,816.84x = 3,673,326.12
  5. Step 5: Solve for x
    x = 3,673,326.12/2,816.84
  6. Step 6: Final answer
    x = 1,304.06

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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.