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Finding the Fourth Proportional to 2,488.51, 3,732.90 and 1,949.05

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Solution

The fourth proportional to 2,488.51, 3,732.90 and 1,949.05 is: 2,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.51 : 3,732.90 = 1,949.05 : x
  2. Step 2: Convert to fraction form
    2,488.51/3,732.90 = 1,949.05/x
  3. Step 3: Cross multiply
    2,488.51x = 3,732.90 × 1,949.05
  4. Step 4: Simplify right side
    2,488.51x = 7,275,608.75
  5. Step 5: Solve for x
    x = 7,275,608.75/2,488.51
  6. Step 6: Final answer
    x = 2,923.68

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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.