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Finding the Fourth Proportional to 2,146.13, 3,219.20 and 684.95

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Solution

The fourth proportional to 2,146.13, 3,219.20 and 684.95 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.13 : 3,219.20 = 684.95 : x
  2. Step 2: Convert to fraction form
    2,146.13/3,219.20 = 684.95/x
  3. Step 3: Cross multiply
    2,146.13x = 3,219.20 × 684.95
  4. Step 4: Simplify right side
    2,146.13x = 2,204,971.52
  5. Step 5: Solve for x
    x = 2,204,971.52/2,146.13
  6. Step 6: Final answer
    x = 1,027.42

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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.