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Finding the Fourth Proportional to 2,423.14, 3,343.70 and 1,375

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Solution

The fourth proportional to 2,423.14, 3,343.70 and 1,375 is: 1,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.14 : 3,343.70 = 1,375 : x
  2. Step 2: Convert to fraction form
    2,423.14/3,343.70 = 1,375/x
  3. Step 3: Cross multiply
    2,423.14x = 3,343.70 × 1,375
  4. Step 4: Simplify right side
    2,423.14x = 4,597,587.50
  5. Step 5: Solve for x
    x = 4,597,587.50/2,423.14
  6. Step 6: Final answer
    x = 1,897.37

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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.