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Finding the Fourth Proportional to 2,896.90, 3,997.65 and 1,570.58

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Solution

The fourth proportional to 2,896.90, 3,997.65 and 1,570.58 is: 2,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.90 : 3,997.65 = 1,570.58 : x
  2. Step 2: Convert to fraction form
    2,896.90/3,997.65 = 1,570.58/x
  3. Step 3: Cross multiply
    2,896.90x = 3,997.65 × 1,570.58
  4. Step 4: Simplify right side
    2,896.90x = 6,278,629.14
  5. Step 5: Solve for x
    x = 6,278,629.14/2,896.90
  6. Step 6: Final answer
    x = 2,167.36

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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.