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Finding the Fourth Proportional to 2,601.70, 3,902.16 and 957.86

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Solution

The fourth proportional to 2,601.70, 3,902.16 and 957.86 is: 1,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.70 : 3,902.16 = 957.86 : x
  2. Step 2: Convert to fraction form
    2,601.70/3,902.16 = 957.86/x
  3. Step 3: Cross multiply
    2,601.70x = 3,902.16 × 957.86
  4. Step 4: Simplify right side
    2,601.70x = 3,737,718.19
  5. Step 5: Solve for x
    x = 3,737,718.19/2,601.70
  6. Step 6: Final answer
    x = 1,436.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.