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Finding the Fourth Proportional to 3,101.49, 4,280.85 and 1,921.86

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Solution

The fourth proportional to 3,101.49, 4,280.85 and 1,921.86 is: 2,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.49 : 4,280.85 = 1,921.86 : x
  2. Step 2: Convert to fraction form
    3,101.49/4,280.85 = 1,921.86/x
  3. Step 3: Cross multiply
    3,101.49x = 4,280.85 × 1,921.86
  4. Step 4: Simplify right side
    3,101.49x = 8,227,194.38
  5. Step 5: Solve for x
    x = 8,227,194.38/3,101.49
  6. Step 6: Final answer
    x = 2,652.66

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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.