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Finding the Fourth Proportional to 2,894.70, 4,342.09 and 2,079.90

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Solution

The fourth proportional to 2,894.70, 4,342.09 and 2,079.90 is: 3,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.70 : 4,342.09 = 2,079.90 : x
  2. Step 2: Convert to fraction form
    2,894.70/4,342.09 = 2,079.90/x
  3. Step 3: Cross multiply
    2,894.70x = 4,342.09 × 2,079.90
  4. Step 4: Simplify right side
    2,894.70x = 9,031,112.99
  5. Step 5: Solve for x
    x = 9,031,112.99/2,894.70
  6. Step 6: Final answer
    x = 3,119.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.