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Finding the Fourth Proportional to 2,896.53, 3,997.01 and 1,637.64

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Solution

The fourth proportional to 2,896.53, 3,997.01 and 1,637.64 is: 2,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.53 : 3,997.01 = 1,637.64 : x
  2. Step 2: Convert to fraction form
    2,896.53/3,997.01 = 1,637.64/x
  3. Step 3: Cross multiply
    2,896.53x = 3,997.01 × 1,637.64
  4. Step 4: Simplify right side
    2,896.53x = 6,545,635.28
  5. Step 5: Solve for x
    x = 6,545,635.28/2,896.53
  6. Step 6: Final answer
    x = 2,259.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.