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Finding the Fourth Proportional to 2,079.52, 3,102.91 and 2,009.05

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Solution

The fourth proportional to 2,079.52, 3,102.91 and 2,009.05 is: 2,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.52 : 3,102.91 = 2,009.05 : x
  2. Step 2: Convert to fraction form
    2,079.52/3,102.91 = 2,009.05/x
  3. Step 3: Cross multiply
    2,079.52x = 3,102.91 × 2,009.05
  4. Step 4: Simplify right side
    2,079.52x = 6,233,899.86
  5. Step 5: Solve for x
    x = 6,233,899.86/2,079.52
  6. Step 6: Final answer
    x = 2,997.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.