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Finding the Fourth Proportional to 2,601.22, 3,901.71 and 957.65

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Solution

The fourth proportional to 2,601.22, 3,901.71 and 957.65 is: 1,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.22 : 3,901.71 = 957.65 : x
  2. Step 2: Convert to fraction form
    2,601.22/3,901.71 = 957.65/x
  3. Step 3: Cross multiply
    2,601.22x = 3,901.71 × 957.65
  4. Step 4: Simplify right side
    2,601.22x = 3,736,472.58
  5. Step 5: Solve for x
    x = 3,736,472.58/2,601.22
  6. Step 6: Final answer
    x = 1,436.43

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1.5x scale

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.