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Finding the Fourth Proportional to 2,268.02, 3,401.99 and 729.02

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Solution

The fourth proportional to 2,268.02, 3,401.99 and 729.02 is: 1,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.02 : 3,401.99 = 729.02 : x
  2. Step 2: Convert to fraction form
    2,268.02/3,401.99 = 729.02/x
  3. Step 3: Cross multiply
    2,268.02x = 3,401.99 × 729.02
  4. Step 4: Simplify right side
    2,268.02x = 2,480,118.75
  5. Step 5: Solve for x
    x = 2,480,118.75/2,268.02
  6. Step 6: Final answer
    x = 1,093.52

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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.