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Finding the Fourth Proportional to 2,712.26, 3,743.10 and 1,533.54

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Solution

The fourth proportional to 2,712.26, 3,743.10 and 1,533.54 is: 2,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.26 : 3,743.10 = 1,533.54 : x
  2. Step 2: Convert to fraction form
    2,712.26/3,743.10 = 1,533.54/x
  3. Step 3: Cross multiply
    2,712.26x = 3,743.10 × 1,533.54
  4. Step 4: Simplify right side
    2,712.26x = 5,740,193.57
  5. Step 5: Solve for x
    x = 5,740,193.57/2,712.26
  6. Step 6: Final answer
    x = 2,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.