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Finding the Fourth Proportional to 1,451.96, 2,180.61 and 759.11

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Solution

The fourth proportional to 1,451.96, 2,180.61 and 759.11 is: 1,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.96 : 2,180.61 = 759.11 : x
  2. Step 2: Convert to fraction form
    1,451.96/2,180.61 = 759.11/x
  3. Step 3: Cross multiply
    1,451.96x = 2,180.61 × 759.11
  4. Step 4: Simplify right side
    1,451.96x = 1,655,311.95
  5. Step 5: Solve for x
    x = 1,655,311.95/1,451.96
  6. Step 6: Final answer
    x = 1,140.06

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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.