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Finding the Fourth Proportional to 2,269.23, 3,403.80 and 625.79

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Solution

The fourth proportional to 2,269.23, 3,403.80 and 625.79 is: 938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.23 : 3,403.80 = 625.79 : x
  2. Step 2: Convert to fraction form
    2,269.23/3,403.80 = 625.79/x
  3. Step 3: Cross multiply
    2,269.23x = 3,403.80 × 625.79
  4. Step 4: Simplify right side
    2,269.23x = 2,130,046.98
  5. Step 5: Solve for x
    x = 2,130,046.98/2,269.23
  6. Step 6: Final answer
    x = 938.67

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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.