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Finding the Fourth Proportional to 2,079.93, 3,106.41 and 1,884.54

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Solution

The fourth proportional to 2,079.93, 3,106.41 and 1,884.54 is: 2,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.93 : 3,106.41 = 1,884.54 : x
  2. Step 2: Convert to fraction form
    2,079.93/3,106.41 = 1,884.54/x
  3. Step 3: Cross multiply
    2,079.93x = 3,106.41 × 1,884.54
  4. Step 4: Simplify right side
    2,079.93x = 5,854,153.90
  5. Step 5: Solve for x
    x = 5,854,153.90/2,079.93
  6. Step 6: Final answer
    x = 2,814.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.