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Finding the Fourth Proportional to 1,546.99, 2,306.68 and 1,375.27

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Solution

The fourth proportional to 1,546.99, 2,306.68 and 1,375.27 is: 2,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.99 : 2,306.68 = 1,375.27 : x
  2. Step 2: Convert to fraction form
    1,546.99/2,306.68 = 1,375.27/x
  3. Step 3: Cross multiply
    1,546.99x = 2,306.68 × 1,375.27
  4. Step 4: Simplify right side
    1,546.99x = 3,172,307.80
  5. Step 5: Solve for x
    x = 3,172,307.80/1,546.99
  6. Step 6: Final answer
    x = 2,050.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.