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Finding the Fourth Proportional to 2,662.48, 3,994.20 and 1,202.32

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Solution

The fourth proportional to 2,662.48, 3,994.20 and 1,202.32 is: 1,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.48 : 3,994.20 = 1,202.32 : x
  2. Step 2: Convert to fraction form
    2,662.48/3,994.20 = 1,202.32/x
  3. Step 3: Cross multiply
    2,662.48x = 3,994.20 × 1,202.32
  4. Step 4: Simplify right side
    2,662.48x = 4,802,306.54
  5. Step 5: Solve for x
    x = 4,802,306.54/2,662.48
  6. Step 6: Final answer
    x = 1,803.70

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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.