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Finding the Fourth Proportional to 2,167.61, 3,254.99 and 1,896.03

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Solution

The fourth proportional to 2,167.61, 3,254.99 and 1,896.03 is: 2,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.61 : 3,254.99 = 1,896.03 : x
  2. Step 2: Convert to fraction form
    2,167.61/3,254.99 = 1,896.03/x
  3. Step 3: Cross multiply
    2,167.61x = 3,254.99 × 1,896.03
  4. Step 4: Simplify right side
    2,167.61x = 6,171,549.21
  5. Step 5: Solve for x
    x = 6,171,549.21/2,167.61
  6. Step 6: Final answer
    x = 2,847.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.