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Finding the Fourth Proportional to 2,555.61, 3,841.06 and 2,119.73

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Solution

The fourth proportional to 2,555.61, 3,841.06 and 2,119.73 is: 3,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.61 : 3,841.06 = 2,119.73 : x
  2. Step 2: Convert to fraction form
    2,555.61/3,841.06 = 2,119.73/x
  3. Step 3: Cross multiply
    2,555.61x = 3,841.06 × 2,119.73
  4. Step 4: Simplify right side
    2,555.61x = 8,142,010.11
  5. Step 5: Solve for x
    x = 8,142,010.11/2,555.61
  6. Step 6: Final answer
    x = 3,185.94

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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.