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Finding the Fourth Proportional to 2,022.98, 3,034.44 and 562.01

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Solution

The fourth proportional to 2,022.98, 3,034.44 and 562.01 is: 843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.98 : 3,034.44 = 562.01 : x
  2. Step 2: Convert to fraction form
    2,022.98/3,034.44 = 562.01/x
  3. Step 3: Cross multiply
    2,022.98x = 3,034.44 × 562.01
  4. Step 4: Simplify right side
    2,022.98x = 1,705,370.45
  5. Step 5: Solve for x
    x = 1,705,370.45/2,022.98
  6. Step 6: Final answer
    x = 843.00

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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.