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Finding the Fourth Proportional to 1,745.90, 2,616.57 and 1,500.78

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Solution

The fourth proportional to 1,745.90, 2,616.57 and 1,500.78 is: 2,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.90 : 2,616.57 = 1,500.78 : x
  2. Step 2: Convert to fraction form
    1,745.90/2,616.57 = 1,500.78/x
  3. Step 3: Cross multiply
    1,745.90x = 2,616.57 × 1,500.78
  4. Step 4: Simplify right side
    1,745.90x = 3,926,895.92
  5. Step 5: Solve for x
    x = 3,926,895.92/1,745.90
  6. Step 6: Final answer
    x = 2,249.21

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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.