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Finding the Fourth Proportional to 2,644.71, 3,647.31 and 1,650.09

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Solution

The fourth proportional to 2,644.71, 3,647.31 and 1,650.09 is: 2,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.71 : 3,647.31 = 1,650.09 : x
  2. Step 2: Convert to fraction form
    2,644.71/3,647.31 = 1,650.09/x
  3. Step 3: Cross multiply
    2,644.71x = 3,647.31 × 1,650.09
  4. Step 4: Simplify right side
    2,644.71x = 6,018,389.76
  5. Step 5: Solve for x
    x = 6,018,389.76/2,644.71
  6. Step 6: Final answer
    x = 2,275.63

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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.