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Finding the Fourth Proportional to 1,745.75, 2,616.98 and 924.55

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Solution

The fourth proportional to 1,745.75, 2,616.98 and 924.55 is: 1,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.75 : 2,616.98 = 924.55 : x
  2. Step 2: Convert to fraction form
    1,745.75/2,616.98 = 924.55/x
  3. Step 3: Cross multiply
    1,745.75x = 2,616.98 × 924.55
  4. Step 4: Simplify right side
    1,745.75x = 2,419,517.69
  5. Step 5: Solve for x
    x = 2,419,517.69/1,745.75
  6. Step 6: Final answer
    x = 1,385.95

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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.