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Finding the Fourth Proportional to 2,269.28, 3,396.90 and 1,937.18

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Solution

The fourth proportional to 2,269.28, 3,396.90 and 1,937.18 is: 2,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.28 : 3,396.90 = 1,937.18 : x
  2. Step 2: Convert to fraction form
    2,269.28/3,396.90 = 1,937.18/x
  3. Step 3: Cross multiply
    2,269.28x = 3,396.90 × 1,937.18
  4. Step 4: Simplify right side
    2,269.28x = 6,580,422.50
  5. Step 5: Solve for x
    x = 6,580,422.50/2,269.28
  6. Step 6: Final answer
    x = 2,899.78

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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.