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Finding the Fourth Proportional to 2,031.16, 3,047.73 and 732.73

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Solution

The fourth proportional to 2,031.16, 3,047.73 and 732.73 is: 1,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.16 : 3,047.73 = 732.73 : x
  2. Step 2: Convert to fraction form
    2,031.16/3,047.73 = 732.73/x
  3. Step 3: Cross multiply
    2,031.16x = 3,047.73 × 732.73
  4. Step 4: Simplify right side
    2,031.16x = 2,233,163.20
  5. Step 5: Solve for x
    x = 2,233,163.20/2,031.16
  6. Step 6: Final answer
    x = 1,099.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.