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Finding the Fourth Proportional to 2,266.74, 3,400.07 and 623.29

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Solution

The fourth proportional to 2,266.74, 3,400.07 and 623.29 is: 934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.74 : 3,400.07 = 623.29 : x
  2. Step 2: Convert to fraction form
    2,266.74/3,400.07 = 623.29/x
  3. Step 3: Cross multiply
    2,266.74x = 3,400.07 × 623.29
  4. Step 4: Simplify right side
    2,266.74x = 2,119,229.63
  5. Step 5: Solve for x
    x = 2,119,229.63/2,266.74
  6. Step 6: Final answer
    x = 934.92

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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.