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Finding the Fourth Proportional to 2,268, 3,402 and 729

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Solution

The fourth proportional to 2,268, 3,402 and 729 is: 1,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 3,402 = 729 : x
  2. Step 2: Convert to fraction form
    2,268/3,402 = 729/x
  3. Step 3: Cross multiply
    2,268x = 3,402 × 729
  4. Step 4: Simplify right side
    2,268x = 2,480,058
  5. Step 5: Solve for x
    x = 2,480,058/2,268
  6. Step 6: Final answer
    x = 1,093.50

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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.