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Finding the Fourth Proportional to 2,269.54, 3,403.92 and 626.20

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Solution

The fourth proportional to 2,269.54, 3,403.92 and 626.20 is: 939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.54 : 3,403.92 = 626.20 : x
  2. Step 2: Convert to fraction form
    2,269.54/3,403.92 = 626.20/x
  3. Step 3: Cross multiply
    2,269.54x = 3,403.92 × 626.20
  4. Step 4: Simplify right side
    2,269.54x = 2,131,534.70
  5. Step 5: Solve for x
    x = 2,131,534.70/2,269.54
  6. Step 6: Final answer
    x = 939.19

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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.