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Finding the Fourth Proportional to 2,619.52, 3,928.70 and 770.76

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Solution

The fourth proportional to 2,619.52, 3,928.70 and 770.76 is: 1,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.52 : 3,928.70 = 770.76 : x
  2. Step 2: Convert to fraction form
    2,619.52/3,928.70 = 770.76/x
  3. Step 3: Cross multiply
    2,619.52x = 3,928.70 × 770.76
  4. Step 4: Simplify right side
    2,619.52x = 3,028,084.81
  5. Step 5: Solve for x
    x = 3,028,084.81/2,619.52
  6. Step 6: Final answer
    x = 1,155.97

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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.