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Finding the Fourth Proportional to 2,691.31, 3,713.81 and 1,512.16

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Solution

The fourth proportional to 2,691.31, 3,713.81 and 1,512.16 is: 2,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.31 : 3,713.81 = 1,512.16 : x
  2. Step 2: Convert to fraction form
    2,691.31/3,713.81 = 1,512.16/x
  3. Step 3: Cross multiply
    2,691.31x = 3,713.81 × 1,512.16
  4. Step 4: Simplify right side
    2,691.31x = 5,615,874.93
  5. Step 5: Solve for x
    x = 5,615,874.93/2,691.31
  6. Step 6: Final answer
    x = 2,086.67

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1.5x scale

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.