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Finding the Fourth Proportional to 3,058.80, 4,582.31 and 1,827.20

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Solution

The fourth proportional to 3,058.80, 4,582.31 and 1,827.20 is: 2,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.80 : 4,582.31 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    3,058.80/4,582.31 = 1,827.20/x
  3. Step 3: Cross multiply
    3,058.80x = 4,582.31 × 1,827.20
  4. Step 4: Simplify right side
    3,058.80x = 8,372,764.78
  5. Step 5: Solve for x
    x = 8,372,764.78/3,058.80
  6. Step 6: Final answer
    x = 2,737.27

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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.