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Finding the Fourth Proportional to 2,146.13, 3,219.09 and 685.10

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Solution

The fourth proportional to 2,146.13, 3,219.09 and 685.10 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.13 : 3,219.09 = 685.10 : x
  2. Step 2: Convert to fraction form
    2,146.13/3,219.09 = 685.10/x
  3. Step 3: Cross multiply
    2,146.13x = 3,219.09 × 685.10
  4. Step 4: Simplify right side
    2,146.13x = 2,205,382.46
  5. Step 5: Solve for x
    x = 2,205,382.46/2,146.13
  6. Step 6: Final answer
    x = 1,027.61

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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.