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Finding the Fourth Proportional to 2,031.96, 3,047.94 and 571.08

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Solution

The fourth proportional to 2,031.96, 3,047.94 and 571.08 is: 856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.96 : 3,047.94 = 571.08 : x
  2. Step 2: Convert to fraction form
    2,031.96/3,047.94 = 571.08/x
  3. Step 3: Cross multiply
    2,031.96x = 3,047.94 × 571.08
  4. Step 4: Simplify right side
    2,031.96x = 1,740,617.58
  5. Step 5: Solve for x
    x = 1,740,617.58/2,031.96
  6. Step 6: Final answer
    x = 856.62

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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.