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Finding the Fourth Proportional to 3,052.48, 4,578.89 and 861.04

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Solution

The fourth proportional to 3,052.48, 4,578.89 and 861.04 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.48 : 4,578.89 = 861.04 : x
  2. Step 2: Convert to fraction form
    3,052.48/4,578.89 = 861.04/x
  3. Step 3: Cross multiply
    3,052.48x = 4,578.89 × 861.04
  4. Step 4: Simplify right side
    3,052.48x = 3,942,607.45
  5. Step 5: Solve for x
    x = 3,942,607.45/3,052.48
  6. Step 6: Final answer
    x = 1,291.61

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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.