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Finding the Fourth Proportional to 2,031.43, 3,047.14 and 492.43

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Solution

The fourth proportional to 2,031.43, 3,047.14 and 492.43 is: 738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.43 : 3,047.14 = 492.43 : x
  2. Step 2: Convert to fraction form
    2,031.43/3,047.14 = 492.43/x
  3. Step 3: Cross multiply
    2,031.43x = 3,047.14 × 492.43
  4. Step 4: Simplify right side
    2,031.43x = 1,500,500.69
  5. Step 5: Solve for x
    x = 1,500,500.69/2,031.43
  6. Step 6: Final answer
    x = 738.64

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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.