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Finding the Fourth Proportional to 2,133.25, 2,944.07 and 1,201.93

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Solution

The fourth proportional to 2,133.25, 2,944.07 and 1,201.93 is: 1,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.25 : 2,944.07 = 1,201.93 : x
  2. Step 2: Convert to fraction form
    2,133.25/2,944.07 = 1,201.93/x
  3. Step 3: Cross multiply
    2,133.25x = 2,944.07 × 1,201.93
  4. Step 4: Simplify right side
    2,133.25x = 3,538,566.06
  5. Step 5: Solve for x
    x = 3,538,566.06/2,133.25
  6. Step 6: Final answer
    x = 1,658.77

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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.