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Finding the Fourth Proportional to 2,093.90, 3,144.45 and 2,029.10

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Solution

The fourth proportional to 2,093.90, 3,144.45 and 2,029.10 is: 3,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.90 : 3,144.45 = 2,029.10 : x
  2. Step 2: Convert to fraction form
    2,093.90/3,144.45 = 2,029.10/x
  3. Step 3: Cross multiply
    2,093.90x = 3,144.45 × 2,029.10
  4. Step 4: Simplify right side
    2,093.90x = 6,380,403.50
  5. Step 5: Solve for x
    x = 6,380,403.50/2,093.90
  6. Step 6: Final answer
    x = 3,047.14

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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.