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Finding the Fourth Proportional to 2,649.31, 3,954.59 and 2,456.56

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Solution

The fourth proportional to 2,649.31, 3,954.59 and 2,456.56 is: 3,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.31 : 3,954.59 = 2,456.56 : x
  2. Step 2: Convert to fraction form
    2,649.31/3,954.59 = 2,456.56/x
  3. Step 3: Cross multiply
    2,649.31x = 3,954.59 × 2,456.56
  4. Step 4: Simplify right side
    2,649.31x = 9,714,689.48
  5. Step 5: Solve for x
    x = 9,714,689.48/2,649.31
  6. Step 6: Final answer
    x = 3,666.88

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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.