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Finding the Fourth Proportional to 2,896.45, 3,997.76 and 1,638.24

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Solution

The fourth proportional to 2,896.45, 3,997.76 and 1,638.24 is: 2,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.45 : 3,997.76 = 1,638.24 : x
  2. Step 2: Convert to fraction form
    2,896.45/3,997.76 = 1,638.24/x
  3. Step 3: Cross multiply
    2,896.45x = 3,997.76 × 1,638.24
  4. Step 4: Simplify right side
    2,896.45x = 6,549,290.34
  5. Step 5: Solve for x
    x = 6,549,290.34/2,896.45
  6. Step 6: Final answer
    x = 2,261.14

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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.