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Finding the Fourth Proportional to 2,018.84, 3,028.32 and 785.96

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Solution

The fourth proportional to 2,018.84, 3,028.32 and 785.96 is: 1,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 3,028.32 = 785.96 : x
  2. Step 2: Convert to fraction form
    2,018.84/3,028.32 = 785.96/x
  3. Step 3: Cross multiply
    2,018.84x = 3,028.32 × 785.96
  4. Step 4: Simplify right side
    2,018.84x = 2,380,138.39
  5. Step 5: Solve for x
    x = 2,380,138.39/2,018.84
  6. Step 6: Final answer
    x = 1,178.96

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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.