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Finding the Fourth Proportional to 2,713.87, 4,067.16 and 1,980.01

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Solution

The fourth proportional to 2,713.87, 4,067.16 and 1,980.01 is: 2,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.87 : 4,067.16 = 1,980.01 : x
  2. Step 2: Convert to fraction form
    2,713.87/4,067.16 = 1,980.01/x
  3. Step 3: Cross multiply
    2,713.87x = 4,067.16 × 1,980.01
  4. Step 4: Simplify right side
    2,713.87x = 8,053,017.47
  5. Step 5: Solve for x
    x = 8,053,017.47/2,713.87
  6. Step 6: Final answer
    x = 2,967.36

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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.