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Finding the Fourth Proportional to 2,269.60, 3,403.52 and 882.75

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Solution

The fourth proportional to 2,269.60, 3,403.52 and 882.75 is: 1,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.60 : 3,403.52 = 882.75 : x
  2. Step 2: Convert to fraction form
    2,269.60/3,403.52 = 882.75/x
  3. Step 3: Cross multiply
    2,269.60x = 3,403.52 × 882.75
  4. Step 4: Simplify right side
    2,269.60x = 3,004,452.87
  5. Step 5: Solve for x
    x = 3,004,452.87/2,269.60
  6. Step 6: Final answer
    x = 1,323.78

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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.