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Finding the Fourth Proportional to 2,697.92, 3,723.14 and 1,502.81

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Solution

The fourth proportional to 2,697.92, 3,723.14 and 1,502.81 is: 2,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.92 : 3,723.14 = 1,502.81 : x
  2. Step 2: Convert to fraction form
    2,697.92/3,723.14 = 1,502.81/x
  3. Step 3: Cross multiply
    2,697.92x = 3,723.14 × 1,502.81
  4. Step 4: Simplify right side
    2,697.92x = 5,595,145.89
  5. Step 5: Solve for x
    x = 5,595,145.89/2,697.92
  6. Step 6: Final answer
    x = 2,073.88

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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.