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Finding the Fourth Proportional to 2,266.97, 3,400.46 and 623.53

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Solution

The fourth proportional to 2,266.97, 3,400.46 and 623.53 is: 935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.97 : 3,400.46 = 623.53 : x
  2. Step 2: Convert to fraction form
    2,266.97/3,400.46 = 623.53/x
  3. Step 3: Cross multiply
    2,266.97x = 3,400.46 × 623.53
  4. Step 4: Simplify right side
    2,266.97x = 2,120,288.82
  5. Step 5: Solve for x
    x = 2,120,288.82/2,266.97
  6. Step 6: Final answer
    x = 935.30

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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.