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Finding the Fourth Proportional to 2,310.35, 3,463.18 and 994.96

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Solution

The fourth proportional to 2,310.35, 3,463.18 and 994.96 is: 1,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.35 : 3,463.18 = 994.96 : x
  2. Step 2: Convert to fraction form
    2,310.35/3,463.18 = 994.96/x
  3. Step 3: Cross multiply
    2,310.35x = 3,463.18 × 994.96
  4. Step 4: Simplify right side
    2,310.35x = 3,445,713.53
  5. Step 5: Solve for x
    x = 3,445,713.53/2,310.35
  6. Step 6: Final answer
    x = 1,491.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.