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Finding the Fourth Proportional to 2,871.17, 3,961 and 1,751.68

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Solution

The fourth proportional to 2,871.17, 3,961 and 1,751.68 is: 2,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.17 : 3,961 = 1,751.68 : x
  2. Step 2: Convert to fraction form
    2,871.17/3,961 = 1,751.68/x
  3. Step 3: Cross multiply
    2,871.17x = 3,961 × 1,751.68
  4. Step 4: Simplify right side
    2,871.17x = 6,938,404.48
  5. Step 5: Solve for x
    x = 6,938,404.48/2,871.17
  6. Step 6: Final answer
    x = 2,416.58

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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.