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Finding the Fourth Proportional to 2,144.59, 2,971.03 and 2,093.56

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Solution

The fourth proportional to 2,144.59, 2,971.03 and 2,093.56 is: 2,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.59 : 2,971.03 = 2,093.56 : x
  2. Step 2: Convert to fraction form
    2,144.59/2,971.03 = 2,093.56/x
  3. Step 3: Cross multiply
    2,144.59x = 2,971.03 × 2,093.56
  4. Step 4: Simplify right side
    2,144.59x = 6,220,029.57
  5. Step 5: Solve for x
    x = 6,220,029.57/2,144.59
  6. Step 6: Final answer
    x = 2,900.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.