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Finding the Fourth Proportional to 2,269.67, 3,404.30 and 1,174.95

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Solution

The fourth proportional to 2,269.67, 3,404.30 and 1,174.95 is: 1,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.67 : 3,404.30 = 1,174.95 : x
  2. Step 2: Convert to fraction form
    2,269.67/3,404.30 = 1,174.95/x
  3. Step 3: Cross multiply
    2,269.67x = 3,404.30 × 1,174.95
  4. Step 4: Simplify right side
    2,269.67x = 3,999,876.41
  5. Step 5: Solve for x
    x = 3,999,876.41/2,269.67
  6. Step 6: Final answer
    x = 1,762.32

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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.