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Finding the Fourth Proportional to 2,250.57, 3,375.84 and 711.57

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Solution

The fourth proportional to 2,250.57, 3,375.84 and 711.57 is: 1,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.57 : 3,375.84 = 711.57 : x
  2. Step 2: Convert to fraction form
    2,250.57/3,375.84 = 711.57/x
  3. Step 3: Cross multiply
    2,250.57x = 3,375.84 × 711.57
  4. Step 4: Simplify right side
    2,250.57x = 2,402,146.47
  5. Step 5: Solve for x
    x = 2,402,146.47/2,250.57
  6. Step 6: Final answer
    x = 1,067.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.