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Finding the Fourth Proportional to 2,446, 3,375.48 and 1,342

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Solution

The fourth proportional to 2,446, 3,375.48 and 1,342 is: 1,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446 : 3,375.48 = 1,342 : x
  2. Step 2: Convert to fraction form
    2,446/3,375.48 = 1,342/x
  3. Step 3: Cross multiply
    2,446x = 3,375.48 × 1,342
  4. Step 4: Simplify right side
    2,446x = 4,529,894.16
  5. Step 5: Solve for x
    x = 4,529,894.16/2,446
  6. Step 6: Final answer
    x = 1,851.96

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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.