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Finding the Fourth Proportional to 2,031.85, 3,047.94 and 571.12

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Solution

The fourth proportional to 2,031.85, 3,047.94 and 571.12 is: 856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.85 : 3,047.94 = 571.12 : x
  2. Step 2: Convert to fraction form
    2,031.85/3,047.94 = 571.12/x
  3. Step 3: Cross multiply
    2,031.85x = 3,047.94 × 571.12
  4. Step 4: Simplify right side
    2,031.85x = 1,740,739.49
  5. Step 5: Solve for x
    x = 1,740,739.49/2,031.85
  6. Step 6: Final answer
    x = 856.73

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