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Finding the Fourth Proportional to 2,019.32, 3,031.70 and 1,046.20

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Solution

The fourth proportional to 2,019.32, 3,031.70 and 1,046.20 is: 1,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.32 : 3,031.70 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    2,019.32/3,031.70 = 1,046.20/x
  3. Step 3: Cross multiply
    2,019.32x = 3,031.70 × 1,046.20
  4. Step 4: Simplify right side
    2,019.32x = 3,171,764.54
  5. Step 5: Solve for x
    x = 3,171,764.54/2,019.32
  6. Step 6: Final answer
    x = 1,570.71

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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.