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Finding the Fourth Proportional to 2,269.25, 3,403.80 and 625.89

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Solution

The fourth proportional to 2,269.25, 3,403.80 and 625.89 is: 938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.25 : 3,403.80 = 625.89 : x
  2. Step 2: Convert to fraction form
    2,269.25/3,403.80 = 625.89/x
  3. Step 3: Cross multiply
    2,269.25x = 3,403.80 × 625.89
  4. Step 4: Simplify right side
    2,269.25x = 2,130,404.38
  5. Step 5: Solve for x
    x = 2,130,404.38/2,269.25
  6. Step 6: Final answer
    x = 938.82

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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.