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Finding the Fourth Proportional to 2,871.60, 3,962.81 and 1,677.41

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Solution

The fourth proportional to 2,871.60, 3,962.81 and 1,677.41 is: 2,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.60 : 3,962.81 = 1,677.41 : x
  2. Step 2: Convert to fraction form
    2,871.60/3,962.81 = 1,677.41/x
  3. Step 3: Cross multiply
    2,871.60x = 3,962.81 × 1,677.41
  4. Step 4: Simplify right side
    2,871.60x = 6,647,241.50
  5. Step 5: Solve for x
    x = 6,647,241.50/2,871.60
  6. Step 6: Final answer
    x = 2,314.82

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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.