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Finding the Fourth Proportional to 3,052.74, 4,579.23 and 861.66

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Solution

The fourth proportional to 3,052.74, 4,579.23 and 861.66 is: 1,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.74 : 4,579.23 = 861.66 : x
  2. Step 2: Convert to fraction form
    3,052.74/4,579.23 = 861.66/x
  3. Step 3: Cross multiply
    3,052.74x = 4,579.23 × 861.66
  4. Step 4: Simplify right side
    3,052.74x = 3,945,739.32
  5. Step 5: Solve for x
    x = 3,945,739.32/3,052.74
  6. Step 6: Final answer
    x = 1,292.52

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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.