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Finding the Fourth Proportional to 2,022.84, 3,034.31 and 562.01

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Solution

The fourth proportional to 2,022.84, 3,034.31 and 562.01 is: 843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.84 : 3,034.31 = 562.01 : x
  2. Step 2: Convert to fraction form
    2,022.84/3,034.31 = 562.01/x
  3. Step 3: Cross multiply
    2,022.84x = 3,034.31 × 562.01
  4. Step 4: Simplify right side
    2,022.84x = 1,705,294.58
  5. Step 5: Solve for x
    x = 1,705,294.58/2,022.84
  6. Step 6: Final answer
    x = 843.02

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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.