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Finding the Fourth Proportional to 2,268.98, 3,403.69 and 882.43

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Solution

The fourth proportional to 2,268.98, 3,403.69 and 882.43 is: 1,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.98 : 3,403.69 = 882.43 : x
  2. Step 2: Convert to fraction form
    2,268.98/3,403.69 = 882.43/x
  3. Step 3: Cross multiply
    2,268.98x = 3,403.69 × 882.43
  4. Step 4: Simplify right side
    2,268.98x = 3,003,499.34
  5. Step 5: Solve for x
    x = 3,003,499.34/2,268.98
  6. Step 6: Final answer
    x = 1,323.72

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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.