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Finding the Fourth Proportional to 2,108.10, 3,162.06 and 722.10

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Solution

The fourth proportional to 2,108.10, 3,162.06 and 722.10 is: 1,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.10 : 3,162.06 = 722.10 : x
  2. Step 2: Convert to fraction form
    2,108.10/3,162.06 = 722.10/x
  3. Step 3: Cross multiply
    2,108.10x = 3,162.06 × 722.10
  4. Step 4: Simplify right side
    2,108.10x = 2,283,323.53
  5. Step 5: Solve for x
    x = 2,283,323.53/2,108.10
  6. Step 6: Final answer
    x = 1,083.12

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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.