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Finding the Fourth Proportional to 2,297.87, 3,440.58 and 1,200.02

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Solution

The fourth proportional to 2,297.87, 3,440.58 and 1,200.02 is: 1,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.87 : 3,440.58 = 1,200.02 : x
  2. Step 2: Convert to fraction form
    2,297.87/3,440.58 = 1,200.02/x
  3. Step 3: Cross multiply
    2,297.87x = 3,440.58 × 1,200.02
  4. Step 4: Simplify right side
    2,297.87x = 4,128,743.11
  5. Step 5: Solve for x
    x = 4,128,743.11/2,297.87
  6. Step 6: Final answer
    x = 1,796.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.