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Finding the Fourth Proportional to 2,426.94, 3,640.47 and 966.09

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Solution

The fourth proportional to 2,426.94, 3,640.47 and 966.09 is: 1,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.94 : 3,640.47 = 966.09 : x
  2. Step 2: Convert to fraction form
    2,426.94/3,640.47 = 966.09/x
  3. Step 3: Cross multiply
    2,426.94x = 3,640.47 × 966.09
  4. Step 4: Simplify right side
    2,426.94x = 3,517,021.66
  5. Step 5: Solve for x
    x = 3,517,021.66/2,426.94
  6. Step 6: Final answer
    x = 1,449.16

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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.