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Finding the Fourth Proportional to 2,490.42, 3,734.90 and 1,795

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Solution

The fourth proportional to 2,490.42, 3,734.90 and 1,795 is: 2,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.42 : 3,734.90 = 1,795 : x
  2. Step 2: Convert to fraction form
    2,490.42/3,734.90 = 1,795/x
  3. Step 3: Cross multiply
    2,490.42x = 3,734.90 × 1,795
  4. Step 4: Simplify right side
    2,490.42x = 6,704,145.50
  5. Step 5: Solve for x
    x = 6,704,145.50/2,490.42
  6. Step 6: Final answer
    x = 2,691.97

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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.