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Finding the Fourth Proportional to 2,146.17, 3,219.67 and 759.35

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Solution

The fourth proportional to 2,146.17, 3,219.67 and 759.35 is: 1,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.17 : 3,219.67 = 759.35 : x
  2. Step 2: Convert to fraction form
    2,146.17/3,219.67 = 759.35/x
  3. Step 3: Cross multiply
    2,146.17x = 3,219.67 × 759.35
  4. Step 4: Simplify right side
    2,146.17x = 2,444,856.41
  5. Step 5: Solve for x
    x = 2,444,856.41/2,146.17
  6. Step 6: Final answer
    x = 1,139.17

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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.