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Finding the Fourth Proportional to 1,960.40, 2,704.08 and 1,252.46

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Solution

The fourth proportional to 1,960.40, 2,704.08 and 1,252.46 is: 1,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.40 : 2,704.08 = 1,252.46 : x
  2. Step 2: Convert to fraction form
    1,960.40/2,704.08 = 1,252.46/x
  3. Step 3: Cross multiply
    1,960.40x = 2,704.08 × 1,252.46
  4. Step 4: Simplify right side
    1,960.40x = 3,386,763.49
  5. Step 5: Solve for x
    x = 3,386,763.49/1,960.40
  6. Step 6: Final answer
    x = 1,727.59

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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.