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Finding the Fourth Proportional to 2,146.25, 3,219.63 and 759.30

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Solution

The fourth proportional to 2,146.25, 3,219.63 and 759.30 is: 1,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.25 : 3,219.63 = 759.30 : x
  2. Step 2: Convert to fraction form
    2,146.25/3,219.63 = 759.30/x
  3. Step 3: Cross multiply
    2,146.25x = 3,219.63 × 759.30
  4. Step 4: Simplify right side
    2,146.25x = 2,444,665.06
  5. Step 5: Solve for x
    x = 2,444,665.06/2,146.25
  6. Step 6: Final answer
    x = 1,139.04

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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.