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Finding the Fourth Proportional to 2,220.46, 3,329.74 and 759.76

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Solution

The fourth proportional to 2,220.46, 3,329.74 and 759.76 is: 1,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.46 : 3,329.74 = 759.76 : x
  2. Step 2: Convert to fraction form
    2,220.46/3,329.74 = 759.76/x
  3. Step 3: Cross multiply
    2,220.46x = 3,329.74 × 759.76
  4. Step 4: Simplify right side
    2,220.46x = 2,529,803.26
  5. Step 5: Solve for x
    x = 2,529,803.26/2,220.46
  6. Step 6: Final answer
    x = 1,139.31

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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.