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Finding the Fourth Proportional to 2,763.45, 4,139.10 and 1,463.40

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Solution

The fourth proportional to 2,763.45, 4,139.10 and 1,463.40 is: 2,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.45 : 4,139.10 = 1,463.40 : x
  2. Step 2: Convert to fraction form
    2,763.45/4,139.10 = 1,463.40/x
  3. Step 3: Cross multiply
    2,763.45x = 4,139.10 × 1,463.40
  4. Step 4: Simplify right side
    2,763.45x = 6,057,158.94
  5. Step 5: Solve for x
    x = 6,057,158.94/2,763.45
  6. Step 6: Final answer
    x = 2,191.88

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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.