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Finding the Fourth Proportional to 2,494.42, 3,442.36 and 1,375.42

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Solution

The fourth proportional to 2,494.42, 3,442.36 and 1,375.42 is: 1,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.42 : 3,442.36 = 1,375.42 : x
  2. Step 2: Convert to fraction form
    2,494.42/3,442.36 = 1,375.42/x
  3. Step 3: Cross multiply
    2,494.42x = 3,442.36 × 1,375.42
  4. Step 4: Simplify right side
    2,494.42x = 4,734,690.79
  5. Step 5: Solve for x
    x = 4,734,690.79/2,494.42
  6. Step 6: Final answer
    x = 1,898.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.