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Finding the Fourth Proportional to 2,580.55, 3,871.41 and 937.09

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Solution

The fourth proportional to 2,580.55, 3,871.41 and 937.09 is: 1,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.55 : 3,871.41 = 937.09 : x
  2. Step 2: Convert to fraction form
    2,580.55/3,871.41 = 937.09/x
  3. Step 3: Cross multiply
    2,580.55x = 3,871.41 × 937.09
  4. Step 4: Simplify right side
    2,580.55x = 3,627,859.60
  5. Step 5: Solve for x
    x = 3,627,859.60/2,580.55
  6. Step 6: Final answer
    x = 1,405.85

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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.