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Finding the Fourth Proportional to 2,022.72, 3,035.40 and 868.56

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Solution

The fourth proportional to 2,022.72, 3,035.40 and 868.56 is: 1,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.72 : 3,035.40 = 868.56 : x
  2. Step 2: Convert to fraction form
    2,022.72/3,035.40 = 868.56/x
  3. Step 3: Cross multiply
    2,022.72x = 3,035.40 × 868.56
  4. Step 4: Simplify right side
    2,022.72x = 2,636,427.02
  5. Step 5: Solve for x
    x = 2,636,427.02/2,022.72
  6. Step 6: Final answer
    x = 1,303.41

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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.