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Finding the Fourth Proportional to 2,269.62, 3,403.86 and 626.10

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Solution

The fourth proportional to 2,269.62, 3,403.86 and 626.10 is: 938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.62 : 3,403.86 = 626.10 : x
  2. Step 2: Convert to fraction form
    2,269.62/3,403.86 = 626.10/x
  3. Step 3: Cross multiply
    2,269.62x = 3,403.86 × 626.10
  4. Step 4: Simplify right side
    2,269.62x = 2,131,156.75
  5. Step 5: Solve for x
    x = 2,131,156.75/2,269.62
  6. Step 6: Final answer
    x = 938.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.