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Finding the Fourth Proportional to 2,019.44, 2,788.02 and 1,546.48

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Solution

The fourth proportional to 2,019.44, 2,788.02 and 1,546.48 is: 2,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.44 : 2,788.02 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    2,019.44/2,788.02 = 1,546.48/x
  3. Step 3: Cross multiply
    2,019.44x = 2,788.02 × 1,546.48
  4. Step 4: Simplify right side
    2,019.44x = 4,311,617.17
  5. Step 5: Solve for x
    x = 4,311,617.17/2,019.44
  6. Step 6: Final answer
    x = 2,135.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.