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Finding the Fourth Proportional to 2,268.07, 3,401.08 and 880.36

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Solution

The fourth proportional to 2,268.07, 3,401.08 and 880.36 is: 1,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.07 : 3,401.08 = 880.36 : x
  2. Step 2: Convert to fraction form
    2,268.07/3,401.08 = 880.36/x
  3. Step 3: Cross multiply
    2,268.07x = 3,401.08 × 880.36
  4. Step 4: Simplify right side
    2,268.07x = 2,994,164.09
  5. Step 5: Solve for x
    x = 2,994,164.09/2,268.07
  6. Step 6: Final answer
    x = 1,320.14

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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.