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Finding the Fourth Proportional to 2,019.87, 3,031.10 and 1,327.93

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Solution

The fourth proportional to 2,019.87, 3,031.10 and 1,327.93 is: 1,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.87 : 3,031.10 = 1,327.93 : x
  2. Step 2: Convert to fraction form
    2,019.87/3,031.10 = 1,327.93/x
  3. Step 3: Cross multiply
    2,019.87x = 3,031.10 × 1,327.93
  4. Step 4: Simplify right side
    2,019.87x = 4,025,088.62
  5. Step 5: Solve for x
    x = 4,025,088.62/2,019.87
  6. Step 6: Final answer
    x = 1,992.75

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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.