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Finding the Fourth Proportional to 2,141.95, 3,213.13 and 581.97

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Solution

The fourth proportional to 2,141.95, 3,213.13 and 581.97 is: 873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.95 : 3,213.13 = 581.97 : x
  2. Step 2: Convert to fraction form
    2,141.95/3,213.13 = 581.97/x
  3. Step 3: Cross multiply
    2,141.95x = 3,213.13 × 581.97
  4. Step 4: Simplify right side
    2,141.95x = 1,869,945.27
  5. Step 5: Solve for x
    x = 1,869,945.27/2,141.95
  6. Step 6: Final answer
    x = 873.01

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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.