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Finding the Fourth Proportional to 3,177.40, 4,759.70 and 2,019

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Solution

The fourth proportional to 3,177.40, 4,759.70 and 2,019 is: 3,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.40 : 4,759.70 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,177.40/4,759.70 = 2,019/x
  3. Step 3: Cross multiply
    3,177.40x = 4,759.70 × 2,019
  4. Step 4: Simplify right side
    3,177.40x = 9,609,834.30
  5. Step 5: Solve for x
    x = 9,609,834.30/3,177.40
  6. Step 6: Final answer
    x = 3,024.43

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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.