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Finding the Fourth Proportional to 2,019.69, 2,788.74 and 1,576.82

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Solution

The fourth proportional to 2,019.69, 2,788.74 and 1,576.82 is: 2,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.69 : 2,788.74 = 1,576.82 : x
  2. Step 2: Convert to fraction form
    2,019.69/2,788.74 = 1,576.82/x
  3. Step 3: Cross multiply
    2,019.69x = 2,788.74 × 1,576.82
  4. Step 4: Simplify right side
    2,019.69x = 4,397,327.06
  5. Step 5: Solve for x
    x = 4,397,327.06/2,019.69
  6. Step 6: Final answer
    x = 2,177.23

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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.