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Finding the Fourth Proportional to 2,720.40, 3,754.74 and 1,727.04

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Solution

The fourth proportional to 2,720.40, 3,754.74 and 1,727.04 is: 2,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.40 : 3,754.74 = 1,727.04 : x
  2. Step 2: Convert to fraction form
    2,720.40/3,754.74 = 1,727.04/x
  3. Step 3: Cross multiply
    2,720.40x = 3,754.74 × 1,727.04
  4. Step 4: Simplify right side
    2,720.40x = 6,484,586.17
  5. Step 5: Solve for x
    x = 6,484,586.17/2,720.40
  6. Step 6: Final answer
    x = 2,383.69

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Why These Related Problems?

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