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Finding the Fourth Proportional to 2,081.84, 3,121.80 and 927.56

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Solution

The fourth proportional to 2,081.84, 3,121.80 and 927.56 is: 1,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.84 : 3,121.80 = 927.56 : x
  2. Step 2: Convert to fraction form
    2,081.84/3,121.80 = 927.56/x
  3. Step 3: Cross multiply
    2,081.84x = 3,121.80 × 927.56
  4. Step 4: Simplify right side
    2,081.84x = 2,895,656.81
  5. Step 5: Solve for x
    x = 2,895,656.81/2,081.84
  6. Step 6: Final answer
    x = 1,390.91

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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.