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Finding the Fourth Proportional to 2,444, 3,372.74 and 1,396.04

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Solution

The fourth proportional to 2,444, 3,372.74 and 1,396.04 is: 1,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444 : 3,372.74 = 1,396.04 : x
  2. Step 2: Convert to fraction form
    2,444/3,372.74 = 1,396.04/x
  3. Step 3: Cross multiply
    2,444x = 3,372.74 × 1,396.04
  4. Step 4: Simplify right side
    2,444x = 4,708,479.95
  5. Step 5: Solve for x
    x = 4,708,479.95/2,444
  6. Step 6: Final answer
    x = 1,926.55

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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.