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Finding the Fourth Proportional to 2,653.82, 3,961.31 and 2,461.06

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Solution

The fourth proportional to 2,653.82, 3,961.31 and 2,461.06 is: 3,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.82 : 3,961.31 = 2,461.06 : x
  2. Step 2: Convert to fraction form
    2,653.82/3,961.31 = 2,461.06/x
  3. Step 3: Cross multiply
    2,653.82x = 3,961.31 × 2,461.06
  4. Step 4: Simplify right side
    2,653.82x = 9,749,021.59
  5. Step 5: Solve for x
    x = 9,749,021.59/2,653.82
  6. Step 6: Final answer
    x = 3,673.58

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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.