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Finding the Fourth Proportional to 2,108.91, 3,163.98 and 876.09

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Solution

The fourth proportional to 2,108.91, 3,163.98 and 876.09 is: 1,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.91 : 3,163.98 = 876.09 : x
  2. Step 2: Convert to fraction form
    2,108.91/3,163.98 = 876.09/x
  3. Step 3: Cross multiply
    2,108.91x = 3,163.98 × 876.09
  4. Step 4: Simplify right side
    2,108.91x = 2,771,931.24
  5. Step 5: Solve for x
    x = 2,771,931.24/2,108.91
  6. Step 6: Final answer
    x = 1,314.39

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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.