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Finding the Fourth Proportional to 2,266.97, 3,400.07 and 623.63

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Solution

The fourth proportional to 2,266.97, 3,400.07 and 623.63 is: 935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.97 : 3,400.07 = 623.63 : x
  2. Step 2: Convert to fraction form
    2,266.97/3,400.07 = 623.63/x
  3. Step 3: Cross multiply
    2,266.97x = 3,400.07 × 623.63
  4. Step 4: Simplify right side
    2,266.97x = 2,120,382.54
  5. Step 5: Solve for x
    x = 2,120,382.54/2,266.97
  6. Step 6: Final answer
    x = 935.34

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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.