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Finding the Fourth Proportional to 2,015.19, 3,022.44 and 534.43

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Solution

The fourth proportional to 2,015.19, 3,022.44 and 534.43 is: 801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.19 : 3,022.44 = 534.43 : x
  2. Step 2: Convert to fraction form
    2,015.19/3,022.44 = 534.43/x
  3. Step 3: Cross multiply
    2,015.19x = 3,022.44 × 534.43
  4. Step 4: Simplify right side
    2,015.19x = 1,615,282.61
  5. Step 5: Solve for x
    x = 1,615,282.61/2,015.19
  6. Step 6: Final answer
    x = 801.55

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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.