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Finding the Fourth Proportional to 2,002.55, 3,003.83 and 2,002.55

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Solution

The fourth proportional to 2,002.55, 3,003.83 and 2,002.55 is: 3,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.55 : 3,003.83 = 2,002.55 : x
  2. Step 2: Convert to fraction form
    2,002.55/3,003.83 = 2,002.55/x
  3. Step 3: Cross multiply
    2,002.55x = 3,003.83 × 2,002.55
  4. Step 4: Simplify right side
    2,002.55x = 6,015,319.77
  5. Step 5: Solve for x
    x = 6,015,319.77/2,002.55
  6. Step 6: Final answer
    x = 3,003.83

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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.