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Finding the Fourth Proportional to 1,949.33, 2,925 and 1,844.79

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Solution

The fourth proportional to 1,949.33, 2,925 and 1,844.79 is: 2,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.33 : 2,925 = 1,844.79 : x
  2. Step 2: Convert to fraction form
    1,949.33/2,925 = 1,844.79/x
  3. Step 3: Cross multiply
    1,949.33x = 2,925 × 1,844.79
  4. Step 4: Simplify right side
    1,949.33x = 5,396,010.75
  5. Step 5: Solve for x
    x = 5,396,010.75/1,949.33
  6. Step 6: Final answer
    x = 2,768.14

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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.