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Finding the Fourth Proportional to 2,578.50, 3,555.01 and 2,105.90

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Solution

The fourth proportional to 2,578.50, 3,555.01 and 2,105.90 is: 2,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.50 : 3,555.01 = 2,105.90 : x
  2. Step 2: Convert to fraction form
    2,578.50/3,555.01 = 2,105.90/x
  3. Step 3: Cross multiply
    2,578.50x = 3,555.01 × 2,105.90
  4. Step 4: Simplify right side
    2,578.50x = 7,486,472.52
  5. Step 5: Solve for x
    x = 7,486,472.52/2,578.50
  6. Step 6: Final answer
    x = 2,903.42

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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.