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Finding the Fourth Proportional to 2,089.58, 3,131.12 and 1,855.78

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Solution

The fourth proportional to 2,089.58, 3,131.12 and 1,855.78 is: 2,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.58 : 3,131.12 = 1,855.78 : x
  2. Step 2: Convert to fraction form
    2,089.58/3,131.12 = 1,855.78/x
  3. Step 3: Cross multiply
    2,089.58x = 3,131.12 × 1,855.78
  4. Step 4: Simplify right side
    2,089.58x = 5,810,669.87
  5. Step 5: Solve for x
    x = 5,810,669.87/2,089.58
  6. Step 6: Final answer
    x = 2,780.78

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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.