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Finding the Fourth Proportional to 2,235.46, 3,082.74 and 2,058.88

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Solution

The fourth proportional to 2,235.46, 3,082.74 and 2,058.88 is: 2,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.46 : 3,082.74 = 2,058.88 : x
  2. Step 2: Convert to fraction form
    2,235.46/3,082.74 = 2,058.88/x
  3. Step 3: Cross multiply
    2,235.46x = 3,082.74 × 2,058.88
  4. Step 4: Simplify right side
    2,235.46x = 6,346,991.73
  5. Step 5: Solve for x
    x = 6,346,991.73/2,235.46
  6. Step 6: Final answer
    x = 2,839.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.