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Finding the Fourth Proportional to 2,111.49, 3,167.42 and 551.48

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Solution

The fourth proportional to 2,111.49, 3,167.42 and 551.48 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.49 : 3,167.42 = 551.48 : x
  2. Step 2: Convert to fraction form
    2,111.49/3,167.42 = 551.48/x
  3. Step 3: Cross multiply
    2,111.49x = 3,167.42 × 551.48
  4. Step 4: Simplify right side
    2,111.49x = 1,746,771.11
  5. Step 5: Solve for x
    x = 1,746,771.11/2,111.49
  6. Step 6: Final answer
    x = 827.27

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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.