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Finding the Fourth Proportional to 2,268.86, 3,401.12 and 807.24

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Solution

The fourth proportional to 2,268.86, 3,401.12 and 807.24 is: 1,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.86 : 3,401.12 = 807.24 : x
  2. Step 2: Convert to fraction form
    2,268.86/3,401.12 = 807.24/x
  3. Step 3: Cross multiply
    2,268.86x = 3,401.12 × 807.24
  4. Step 4: Simplify right side
    2,268.86x = 2,745,520.11
  5. Step 5: Solve for x
    x = 2,745,520.11/2,268.86
  6. Step 6: Final answer
    x = 1,210.09

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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.