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Finding the Fourth Proportional to 2,269.62, 3,402 and 1,649.97

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Solution

The fourth proportional to 2,269.62, 3,402 and 1,649.97 is: 2,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.62 : 3,402 = 1,649.97 : x
  2. Step 2: Convert to fraction form
    2,269.62/3,402 = 1,649.97/x
  3. Step 3: Cross multiply
    2,269.62x = 3,402 × 1,649.97
  4. Step 4: Simplify right side
    2,269.62x = 5,613,197.94
  5. Step 5: Solve for x
    x = 5,613,197.94/2,269.62
  6. Step 6: Final answer
    x = 2,473.19

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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.