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Finding the Fourth Proportional to 2,266.81, 3,400.25 and 623.34

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Solution

The fourth proportional to 2,266.81, 3,400.25 and 623.34 is: 935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.81 : 3,400.25 = 623.34 : x
  2. Step 2: Convert to fraction form
    2,266.81/3,400.25 = 623.34/x
  3. Step 3: Cross multiply
    2,266.81x = 3,400.25 × 623.34
  4. Step 4: Simplify right side
    2,266.81x = 2,119,517.22
  5. Step 5: Solve for x
    x = 2,119,517.22/2,266.81
  6. Step 6: Final answer
    x = 935.02

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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.