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Finding the Fourth Proportional to 2,018.24, 3,024.93 and 861.56

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Solution

The fourth proportional to 2,018.24, 3,024.93 and 861.56 is: 1,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.24 : 3,024.93 = 861.56 : x
  2. Step 2: Convert to fraction form
    2,018.24/3,024.93 = 861.56/x
  3. Step 3: Cross multiply
    2,018.24x = 3,024.93 × 861.56
  4. Step 4: Simplify right side
    2,018.24x = 2,606,158.69
  5. Step 5: Solve for x
    x = 2,606,158.69/2,018.24
  6. Step 6: Final answer
    x = 1,291.30

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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.