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Finding the Fourth Proportional to 3,019.83, 4,528.46 and 1,377.42

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Solution

The fourth proportional to 3,019.83, 4,528.46 and 1,377.42 is: 2,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.83 : 4,528.46 = 1,377.42 : x
  2. Step 2: Convert to fraction form
    3,019.83/4,528.46 = 1,377.42/x
  3. Step 3: Cross multiply
    3,019.83x = 4,528.46 × 1,377.42
  4. Step 4: Simplify right side
    3,019.83x = 6,237,591.37
  5. Step 5: Solve for x
    x = 6,237,591.37/3,019.83
  6. Step 6: Final answer
    x = 2,065.54

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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.