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Finding the Fourth Proportional to 2,268.95, 3,403.49 and 881.96

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Solution

The fourth proportional to 2,268.95, 3,403.49 and 881.96 is: 1,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.95 : 3,403.49 = 881.96 : x
  2. Step 2: Convert to fraction form
    2,268.95/3,403.49 = 881.96/x
  3. Step 3: Cross multiply
    2,268.95x = 3,403.49 × 881.96
  4. Step 4: Simplify right side
    2,268.95x = 3,001,720.61
  5. Step 5: Solve for x
    x = 3,001,720.61/2,268.95
  6. Step 6: Final answer
    x = 1,322.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.