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Finding the Fourth Proportional to 2,896.71, 3,997.31 and 1,835.61

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Solution

The fourth proportional to 2,896.71, 3,997.31 and 1,835.61 is: 2,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.71 : 3,997.31 = 1,835.61 : x
  2. Step 2: Convert to fraction form
    2,896.71/3,997.31 = 1,835.61/x
  3. Step 3: Cross multiply
    2,896.71x = 3,997.31 × 1,835.61
  4. Step 4: Simplify right side
    2,896.71x = 7,337,482.22
  5. Step 5: Solve for x
    x = 7,337,482.22/2,896.71
  6. Step 6: Final answer
    x = 2,533.04

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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.