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Finding the Fourth Proportional to 1,768.64, 2,439.62 and 1,270.49

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Solution

The fourth proportional to 1,768.64, 2,439.62 and 1,270.49 is: 1,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.64 : 2,439.62 = 1,270.49 : x
  2. Step 2: Convert to fraction form
    1,768.64/2,439.62 = 1,270.49/x
  3. Step 3: Cross multiply
    1,768.64x = 2,439.62 × 1,270.49
  4. Step 4: Simplify right side
    1,768.64x = 3,099,499.03
  5. Step 5: Solve for x
    x = 3,099,499.03/1,768.64
  6. Step 6: Final answer
    x = 1,752.48

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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.