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Finding the Fourth Proportional to 2,297.45, 3,162.42 and 2,002.20

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Solution

The fourth proportional to 2,297.45, 3,162.42 and 2,002.20 is: 2,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.45 : 3,162.42 = 2,002.20 : x
  2. Step 2: Convert to fraction form
    2,297.45/3,162.42 = 2,002.20/x
  3. Step 3: Cross multiply
    2,297.45x = 3,162.42 × 2,002.20
  4. Step 4: Simplify right side
    2,297.45x = 6,331,797.32
  5. Step 5: Solve for x
    x = 6,331,797.32/2,297.45
  6. Step 6: Final answer
    x = 2,756.02

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