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Finding the Fourth Proportional to 2,108.13, 3,160.94 and 721.01

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Solution

The fourth proportional to 2,108.13, 3,160.94 and 721.01 is: 1,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.13 : 3,160.94 = 721.01 : x
  2. Step 2: Convert to fraction form
    2,108.13/3,160.94 = 721.01/x
  3. Step 3: Cross multiply
    2,108.13x = 3,160.94 × 721.01
  4. Step 4: Simplify right side
    2,108.13x = 2,279,049.94
  5. Step 5: Solve for x
    x = 2,279,049.94/2,108.13
  6. Step 6: Final answer
    x = 1,081.08

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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.