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Finding the Fourth Proportional to 2,144.40, 2,958.78 and 1,357.99

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Solution

The fourth proportional to 2,144.40, 2,958.78 and 1,357.99 is: 1,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.40 : 2,958.78 = 1,357.99 : x
  2. Step 2: Convert to fraction form
    2,144.40/2,958.78 = 1,357.99/x
  3. Step 3: Cross multiply
    2,144.40x = 2,958.78 × 1,357.99
  4. Step 4: Simplify right side
    2,144.40x = 4,017,993.65
  5. Step 5: Solve for x
    x = 4,017,993.65/2,144.40
  6. Step 6: Final answer
    x = 1,873.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.