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Finding the Fourth Proportional to 2,018.81, 3,029.43 and 864.56

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Solution

The fourth proportional to 2,018.81, 3,029.43 and 864.56 is: 1,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.81 : 3,029.43 = 864.56 : x
  2. Step 2: Convert to fraction form
    2,018.81/3,029.43 = 864.56/x
  3. Step 3: Cross multiply
    2,018.81x = 3,029.43 × 864.56
  4. Step 4: Simplify right side
    2,018.81x = 2,619,134.82
  5. Step 5: Solve for x
    x = 2,619,134.82/2,018.81
  6. Step 6: Final answer
    x = 1,297.36

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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.