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Finding the Fourth Proportional to 2,019.59, 3,028.74 and 786.70

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Solution

The fourth proportional to 2,019.59, 3,028.74 and 786.70 is: 1,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.59 : 3,028.74 = 786.70 : x
  2. Step 2: Convert to fraction form
    2,019.59/3,028.74 = 786.70/x
  3. Step 3: Cross multiply
    2,019.59x = 3,028.74 × 786.70
  4. Step 4: Simplify right side
    2,019.59x = 2,382,709.76
  5. Step 5: Solve for x
    x = 2,382,709.76/2,019.59
  6. Step 6: Final answer
    x = 1,179.80

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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.