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Finding the Fourth Proportional to 2,601.72, 3,904.12 and 959.42

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Solution

The fourth proportional to 2,601.72, 3,904.12 and 959.42 is: 1,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.72 : 3,904.12 = 959.42 : x
  2. Step 2: Convert to fraction form
    2,601.72/3,904.12 = 959.42/x
  3. Step 3: Cross multiply
    2,601.72x = 3,904.12 × 959.42
  4. Step 4: Simplify right side
    2,601.72x = 3,745,690.81
  5. Step 5: Solve for x
    x = 3,745,690.81/2,601.72
  6. Step 6: Final answer
    x = 1,439.70

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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.