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Finding the Fourth Proportional to 2,054.07, 3,080.57 and 884.03

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Solution

The fourth proportional to 2,054.07, 3,080.57 and 884.03 is: 1,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.07 : 3,080.57 = 884.03 : x
  2. Step 2: Convert to fraction form
    2,054.07/3,080.57 = 884.03/x
  3. Step 3: Cross multiply
    2,054.07x = 3,080.57 × 884.03
  4. Step 4: Simplify right side
    2,054.07x = 2,723,296.47
  5. Step 5: Solve for x
    x = 2,723,296.47/2,054.07
  6. Step 6: Final answer
    x = 1,325.81

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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.