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Finding the Fourth Proportional to 2,108.61, 3,163.29 and 875.37

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Solution

The fourth proportional to 2,108.61, 3,163.29 and 875.37 is: 1,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.61 : 3,163.29 = 875.37 : x
  2. Step 2: Convert to fraction form
    2,108.61/3,163.29 = 875.37/x
  3. Step 3: Cross multiply
    2,108.61x = 3,163.29 × 875.37
  4. Step 4: Simplify right side
    2,108.61x = 2,769,049.17
  5. Step 5: Solve for x
    x = 2,769,049.17/2,108.61
  6. Step 6: Final answer
    x = 1,313.21

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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.