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Finding the Fourth Proportional to 2,896.76, 3,997.10 and 1,637.48

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Solution

The fourth proportional to 2,896.76, 3,997.10 and 1,637.48 is: 2,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.76 : 3,997.10 = 1,637.48 : x
  2. Step 2: Convert to fraction form
    2,896.76/3,997.10 = 1,637.48/x
  3. Step 3: Cross multiply
    2,896.76x = 3,997.10 × 1,637.48
  4. Step 4: Simplify right side
    2,896.76x = 6,545,171.31
  5. Step 5: Solve for x
    x = 6,545,171.31/2,896.76
  6. Step 6: Final answer
    x = 2,259.48

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Double scale
Find fourth proportional to 2,897.76, 3,998.48 and 1,638.48
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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.