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Finding the Fourth Proportional to 2,654.31, 3,661.29 and 1,896.69

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Solution

The fourth proportional to 2,654.31, 3,661.29 and 1,896.69 is: 2,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.31 : 3,661.29 = 1,896.69 : x
  2. Step 2: Convert to fraction form
    2,654.31/3,661.29 = 1,896.69/x
  3. Step 3: Cross multiply
    2,654.31x = 3,661.29 × 1,896.69
  4. Step 4: Simplify right side
    2,654.31x = 6,944,332.13
  5. Step 5: Solve for x
    x = 6,944,332.13/2,654.31
  6. Step 6: Final answer
    x = 2,616.25

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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.