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Finding the Fourth Proportional to 2,266.60, 3,399.82 and 623.11

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Solution

The fourth proportional to 2,266.60, 3,399.82 and 623.11 is: 934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.60 : 3,399.82 = 623.11 : x
  2. Step 2: Convert to fraction form
    2,266.60/3,399.82 = 623.11/x
  3. Step 3: Cross multiply
    2,266.60x = 3,399.82 × 623.11
  4. Step 4: Simplify right side
    2,266.60x = 2,118,441.73
  5. Step 5: Solve for x
    x = 2,118,441.73/2,266.60
  6. Step 6: Final answer
    x = 934.63

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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.