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Finding the Fourth Proportional to 2,002.08, 3,003.12 and 847.84

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Solution

The fourth proportional to 2,002.08, 3,003.12 and 847.84 is: 1,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.08 : 3,003.12 = 847.84 : x
  2. Step 2: Convert to fraction form
    2,002.08/3,003.12 = 847.84/x
  3. Step 3: Cross multiply
    2,002.08x = 3,003.12 × 847.84
  4. Step 4: Simplify right side
    2,002.08x = 2,546,165.26
  5. Step 5: Solve for x
    x = 2,546,165.26/2,002.08
  6. Step 6: Final answer
    x = 1,271.76

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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.