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Finding the Fourth Proportional to 1,884.12, 2,601.90 and 1,296.06

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Solution

The fourth proportional to 1,884.12, 2,601.90 and 1,296.06 is: 1,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.12 : 2,601.90 = 1,296.06 : x
  2. Step 2: Convert to fraction form
    1,884.12/2,601.90 = 1,296.06/x
  3. Step 3: Cross multiply
    1,884.12x = 2,601.90 × 1,296.06
  4. Step 4: Simplify right side
    1,884.12x = 3,372,218.51
  5. Step 5: Solve for x
    x = 3,372,218.51/1,884.12
  6. Step 6: Final answer
    x = 1,789.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.