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Finding the Fourth Proportional to 2,266.74, 3,400.11 and 623.39

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Solution

The fourth proportional to 2,266.74, 3,400.11 and 623.39 is: 935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.74 : 3,400.11 = 623.39 : x
  2. Step 2: Convert to fraction form
    2,266.74/3,400.11 = 623.39/x
  3. Step 3: Cross multiply
    2,266.74x = 3,400.11 × 623.39
  4. Step 4: Simplify right side
    2,266.74x = 2,119,577.57
  5. Step 5: Solve for x
    x = 2,119,577.57/2,266.74
  6. Step 6: Final answer
    x = 935.08

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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.