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Finding the Fourth Proportional to 2,825.70, 4,238.55 and 1,950.90

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Solution

The fourth proportional to 2,825.70, 4,238.55 and 1,950.90 is: 2,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.70 : 4,238.55 = 1,950.90 : x
  2. Step 2: Convert to fraction form
    2,825.70/4,238.55 = 1,950.90/x
  3. Step 3: Cross multiply
    2,825.70x = 4,238.55 × 1,950.90
  4. Step 4: Simplify right side
    2,825.70x = 8,268,987.20
  5. Step 5: Solve for x
    x = 8,268,987.20/2,825.70
  6. Step 6: Final answer
    x = 2,926.35

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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.