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Finding the Fourth Proportional to 2,812.80, 4,219.80 and 963.42

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Solution

The fourth proportional to 2,812.80, 4,219.80 and 963.42 is: 1,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.80 : 4,219.80 = 963.42 : x
  2. Step 2: Convert to fraction form
    2,812.80/4,219.80 = 963.42/x
  3. Step 3: Cross multiply
    2,812.80x = 4,219.80 × 963.42
  4. Step 4: Simplify right side
    2,812.80x = 4,065,449.32
  5. Step 5: Solve for x
    x = 4,065,449.32/2,812.80
  6. Step 6: Final answer
    x = 1,445.34

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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.