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Finding the Fourth Proportional to 2,190.40, 3,278.40 and 1,700.80

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Solution

The fourth proportional to 2,190.40, 3,278.40 and 1,700.80 is: 2,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.40 : 3,278.40 = 1,700.80 : x
  2. Step 2: Convert to fraction form
    2,190.40/3,278.40 = 1,700.80/x
  3. Step 3: Cross multiply
    2,190.40x = 3,278.40 × 1,700.80
  4. Step 4: Simplify right side
    2,190.40x = 5,575,902.72
  5. Step 5: Solve for x
    x = 5,575,902.72/2,190.40
  6. Step 6: Final answer
    x = 2,545.61

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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.