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Finding the Fourth Proportional to 2,003.52, 3,005.57 and 616.97

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Solution

The fourth proportional to 2,003.52, 3,005.57 and 616.97 is: 925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.52 : 3,005.57 = 616.97 : x
  2. Step 2: Convert to fraction form
    2,003.52/3,005.57 = 616.97/x
  3. Step 3: Cross multiply
    2,003.52x = 3,005.57 × 616.97
  4. Step 4: Simplify right side
    2,003.52x = 1,854,353.84
  5. Step 5: Solve for x
    x = 1,854,353.84/2,003.52
  6. Step 6: Final answer
    x = 925.55

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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.