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Finding the Fourth Proportional to 2,067.70, 3,101.55 and 1,840.90

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Solution

The fourth proportional to 2,067.70, 3,101.55 and 1,840.90 is: 2,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.70 : 3,101.55 = 1,840.90 : x
  2. Step 2: Convert to fraction form
    2,067.70/3,101.55 = 1,840.90/x
  3. Step 3: Cross multiply
    2,067.70x = 3,101.55 × 1,840.90
  4. Step 4: Simplify right side
    2,067.70x = 5,709,643.40
  5. Step 5: Solve for x
    x = 5,709,643.40/2,067.70
  6. Step 6: Final answer
    x = 2,761.35

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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.