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Finding the Fourth Proportional to 4,121.70, 6,182.55 and 1,817.70

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Solution

The fourth proportional to 4,121.70, 6,182.55 and 1,817.70 is: 2,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.70 : 6,182.55 = 1,817.70 : x
  2. Step 2: Convert to fraction form
    4,121.70/6,182.55 = 1,817.70/x
  3. Step 3: Cross multiply
    4,121.70x = 6,182.55 × 1,817.70
  4. Step 4: Simplify right side
    4,121.70x = 11,238,021.14
  5. Step 5: Solve for x
    x = 11,238,021.14/4,121.70
  6. Step 6: Final answer
    x = 2,726.55

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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.