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Finding the Fourth Proportional to 2,717.20, 3,746.20 and 2,680.48

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Solution

The fourth proportional to 2,717.20, 3,746.20 and 2,680.48 is: 3,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.20 : 3,746.20 = 2,680.48 : x
  2. Step 2: Convert to fraction form
    2,717.20/3,746.20 = 2,680.48/x
  3. Step 3: Cross multiply
    2,717.20x = 3,746.20 × 2,680.48
  4. Step 4: Simplify right side
    2,717.20x = 10,041,614.18
  5. Step 5: Solve for x
    x = 10,041,614.18/2,717.20
  6. Step 6: Final answer
    x = 3,695.57

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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.