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Finding the Fourth Proportional to 2,896.48, 3,997.34 and 1,637.10

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Solution

The fourth proportional to 2,896.48, 3,997.34 and 1,637.10 is: 2,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.48 : 3,997.34 = 1,637.10 : x
  2. Step 2: Convert to fraction form
    2,896.48/3,997.34 = 1,637.10/x
  3. Step 3: Cross multiply
    2,896.48x = 3,997.34 × 1,637.10
  4. Step 4: Simplify right side
    2,896.48x = 6,544,045.31
  5. Step 5: Solve for x
    x = 6,544,045.31/2,896.48
  6. Step 6: Final answer
    x = 2,259.31

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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.