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Finding the Fourth Proportional to 2,375.25, 3,545.49 and 2,094.70

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Solution

The fourth proportional to 2,375.25, 3,545.49 and 2,094.70 is: 3,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.25 : 3,545.49 = 2,094.70 : x
  2. Step 2: Convert to fraction form
    2,375.25/3,545.49 = 2,094.70/x
  3. Step 3: Cross multiply
    2,375.25x = 3,545.49 × 2,094.70
  4. Step 4: Simplify right side
    2,375.25x = 7,426,721.79
  5. Step 5: Solve for x
    x = 7,426,721.79/2,375.25
  6. Step 6: Final answer
    x = 3,126.71

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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.