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Finding the Fourth Proportional to 2,089.88, 3,137.54 and 1,767.29

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Solution

The fourth proportional to 2,089.88, 3,137.54 and 1,767.29 is: 2,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.88 : 3,137.54 = 1,767.29 : x
  2. Step 2: Convert to fraction form
    2,089.88/3,137.54 = 1,767.29/x
  3. Step 3: Cross multiply
    2,089.88x = 3,137.54 × 1,767.29
  4. Step 4: Simplify right side
    2,089.88x = 5,544,918.54
  5. Step 5: Solve for x
    x = 5,544,918.54/2,089.88
  6. Step 6: Final answer
    x = 2,653.23

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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.