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Finding the Fourth Proportional to 2,095.87, 3,143.40 and 1,991.80

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Solution

The fourth proportional to 2,095.87, 3,143.40 and 1,991.80 is: 2,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.87 : 3,143.40 = 1,991.80 : x
  2. Step 2: Convert to fraction form
    2,095.87/3,143.40 = 1,991.80/x
  3. Step 3: Cross multiply
    2,095.87x = 3,143.40 × 1,991.80
  4. Step 4: Simplify right side
    2,095.87x = 6,261,024.12
  5. Step 5: Solve for x
    x = 6,261,024.12/2,095.87
  6. Step 6: Final answer
    x = 2,987.32

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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.