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Finding the Fourth Proportional to 3,052.56, 4,578.87 and 861.33

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Solution

The fourth proportional to 3,052.56, 4,578.87 and 861.33 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.56 : 4,578.87 = 861.33 : x
  2. Step 2: Convert to fraction form
    3,052.56/4,578.87 = 861.33/x
  3. Step 3: Cross multiply
    3,052.56x = 4,578.87 × 861.33
  4. Step 4: Simplify right side
    3,052.56x = 3,943,918.10
  5. Step 5: Solve for x
    x = 3,943,918.10/3,052.56
  6. Step 6: Final answer
    x = 1,292.00

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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.