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Finding the Fourth Proportional to 2,002.56, 3,003.84 and 847.56

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Solution

The fourth proportional to 2,002.56, 3,003.84 and 847.56 is: 1,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.56 : 3,003.84 = 847.56 : x
  2. Step 2: Convert to fraction form
    2,002.56/3,003.84 = 847.56/x
  3. Step 3: Cross multiply
    2,002.56x = 3,003.84 × 847.56
  4. Step 4: Simplify right side
    2,002.56x = 2,545,934.63
  5. Step 5: Solve for x
    x = 2,545,934.63/2,002.56
  6. Step 6: Final answer
    x = 1,271.34

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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.