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Finding the Fourth Proportional to 1,745.82, 2,616.57 and 880.38

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Solution

The fourth proportional to 1,745.82, 2,616.57 and 880.38 is: 1,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.82 : 2,616.57 = 880.38 : x
  2. Step 2: Convert to fraction form
    1,745.82/2,616.57 = 880.38/x
  3. Step 3: Cross multiply
    1,745.82x = 2,616.57 × 880.38
  4. Step 4: Simplify right side
    1,745.82x = 2,303,575.90
  5. Step 5: Solve for x
    x = 2,303,575.90/1,745.82
  6. Step 6: Final answer
    x = 1,319.48

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1.5x scale

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.