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Finding the Fourth Proportional to 2,269.37, 3,404.43 and 882.70

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Solution

The fourth proportional to 2,269.37, 3,404.43 and 882.70 is: 1,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.37 : 3,404.43 = 882.70 : x
  2. Step 2: Convert to fraction form
    2,269.37/3,404.43 = 882.70/x
  3. Step 3: Cross multiply
    2,269.37x = 3,404.43 × 882.70
  4. Step 4: Simplify right side
    2,269.37x = 3,005,081.85
  5. Step 5: Solve for x
    x = 3,005,081.85/2,269.37
  6. Step 6: Final answer
    x = 1,324.19

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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.