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Finding the Fourth Proportional to 2,268.68, 3,401.10 and 1,035.66

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Solution

The fourth proportional to 2,268.68, 3,401.10 and 1,035.66 is: 1,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.68 : 3,401.10 = 1,035.66 : x
  2. Step 2: Convert to fraction form
    2,268.68/3,401.10 = 1,035.66/x
  3. Step 3: Cross multiply
    2,268.68x = 3,401.10 × 1,035.66
  4. Step 4: Simplify right side
    2,268.68x = 3,522,383.23
  5. Step 5: Solve for x
    x = 3,522,383.23/2,268.68
  6. Step 6: Final answer
    x = 1,552.61

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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.