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Finding the Fourth Proportional to 2,423.28, 3,344.10 and 1,375.28

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Solution

The fourth proportional to 2,423.28, 3,344.10 and 1,375.28 is: 1,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.28 : 3,344.10 = 1,375.28 : x
  2. Step 2: Convert to fraction form
    2,423.28/3,344.10 = 1,375.28/x
  3. Step 3: Cross multiply
    2,423.28x = 3,344.10 × 1,375.28
  4. Step 4: Simplify right side
    2,423.28x = 4,599,072.25
  5. Step 5: Solve for x
    x = 4,599,072.25/2,423.28
  6. Step 6: Final answer
    x = 1,897.87

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1.5x scale

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.