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Finding the Fourth Proportional to 2,269.72, 3,403.86 and 626.02

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Solution

The fourth proportional to 2,269.72, 3,403.86 and 626.02 is: 938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.72 : 3,403.86 = 626.02 : x
  2. Step 2: Convert to fraction form
    2,269.72/3,403.86 = 626.02/x
  3. Step 3: Cross multiply
    2,269.72x = 3,403.86 × 626.02
  4. Step 4: Simplify right side
    2,269.72x = 2,130,884.44
  5. Step 5: Solve for x
    x = 2,130,884.44/2,269.72
  6. Step 6: Final answer
    x = 938.83

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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.