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Finding the Fourth Proportional to 2,202.98, 3,285.98 and 2,023.88

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Solution

The fourth proportional to 2,202.98, 3,285.98 and 2,023.88 is: 3,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.98 : 3,285.98 = 2,023.88 : x
  2. Step 2: Convert to fraction form
    2,202.98/3,285.98 = 2,023.88/x
  3. Step 3: Cross multiply
    2,202.98x = 3,285.98 × 2,023.88
  4. Step 4: Simplify right side
    2,202.98x = 6,650,402.65
  5. Step 5: Solve for x
    x = 6,650,402.65/2,202.98
  6. Step 6: Final answer
    x = 3,018.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.