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Finding the Fourth Proportional to 2,298.45, 3,163.80 and 2,003.20

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Solution

The fourth proportional to 2,298.45, 3,163.80 and 2,003.20 is: 2,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.45 : 3,163.80 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    2,298.45/3,163.80 = 2,003.20/x
  3. Step 3: Cross multiply
    2,298.45x = 3,163.80 × 2,003.20
  4. Step 4: Simplify right side
    2,298.45x = 6,337,724.16
  5. Step 5: Solve for x
    x = 6,337,724.16/2,298.45
  6. Step 6: Final answer
    x = 2,757.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.