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Finding the Fourth Proportional to 2,108.06, 3,162.38 and 721.00

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Solution

The fourth proportional to 2,108.06, 3,162.38 and 721.00 is: 1,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 3,162.38 = 721.00 : x
  2. Step 2: Convert to fraction form
    2,108.06/3,162.38 = 721.00/x
  3. Step 3: Cross multiply
    2,108.06x = 3,162.38 × 721.00
  4. Step 4: Simplify right side
    2,108.06x = 2,280,076.33
  5. Step 5: Solve for x
    x = 2,280,076.33/2,108.06
  6. Step 6: Final answer
    x = 1,081.60

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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.