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Finding the Fourth Proportional to 2,221.60, 3,328.75 and 759.95

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Solution

The fourth proportional to 2,221.60, 3,328.75 and 759.95 is: 1,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.60 : 3,328.75 = 759.95 : x
  2. Step 2: Convert to fraction form
    2,221.60/3,328.75 = 759.95/x
  3. Step 3: Cross multiply
    2,221.60x = 3,328.75 × 759.95
  4. Step 4: Simplify right side
    2,221.60x = 2,529,679.76
  5. Step 5: Solve for x
    x = 2,529,679.76/2,221.60
  6. Step 6: Final answer
    x = 1,138.68

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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.