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Finding the Fourth Proportional to 2,601.29, 3,902.18 and 957.87

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Solution

The fourth proportional to 2,601.29, 3,902.18 and 957.87 is: 1,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.29 : 3,902.18 = 957.87 : x
  2. Step 2: Convert to fraction form
    2,601.29/3,902.18 = 957.87/x
  3. Step 3: Cross multiply
    2,601.29x = 3,902.18 × 957.87
  4. Step 4: Simplify right side
    2,601.29x = 3,737,776.37
  5. Step 5: Solve for x
    x = 3,737,776.37/2,601.29
  6. Step 6: Final answer
    x = 1,436.90

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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.