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Finding the Fourth Proportional to 2,022.45, 3,034.08 and 927.14

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Solution

The fourth proportional to 2,022.45, 3,034.08 and 927.14 is: 1,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.45 : 3,034.08 = 927.14 : x
  2. Step 2: Convert to fraction form
    2,022.45/3,034.08 = 927.14/x
  3. Step 3: Cross multiply
    2,022.45x = 3,034.08 × 927.14
  4. Step 4: Simplify right side
    2,022.45x = 2,813,001.76
  5. Step 5: Solve for x
    x = 2,813,001.76/2,022.45
  6. Step 6: Final answer
    x = 1,390.89

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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.