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Finding the Fourth Proportional to 2,311.75, 3,463.04 and 1,077.46

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Solution

The fourth proportional to 2,311.75, 3,463.04 and 1,077.46 is: 1,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.75 : 3,463.04 = 1,077.46 : x
  2. Step 2: Convert to fraction form
    2,311.75/3,463.04 = 1,077.46/x
  3. Step 3: Cross multiply
    2,311.75x = 3,463.04 × 1,077.46
  4. Step 4: Simplify right side
    2,311.75x = 3,731,287.08
  5. Step 5: Solve for x
    x = 3,731,287.08/2,311.75
  6. Step 6: Final answer
    x = 1,614.05

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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.