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Finding the Fourth Proportional to 2,712.92, 3,742.34 and 1,767.51

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Solution

The fourth proportional to 2,712.92, 3,742.34 and 1,767.51 is: 2,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.92 : 3,742.34 = 1,767.51 : x
  2. Step 2: Convert to fraction form
    2,712.92/3,742.34 = 1,767.51/x
  3. Step 3: Cross multiply
    2,712.92x = 3,742.34 × 1,767.51
  4. Step 4: Simplify right side
    2,712.92x = 6,614,614.54
  5. Step 5: Solve for x
    x = 6,614,614.54/2,712.92
  6. Step 6: Final answer
    x = 2,438.19

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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.