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Finding the Fourth Proportional to 2,105.13, 3,155.55 and 873.21

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Solution

The fourth proportional to 2,105.13, 3,155.55 and 873.21 is: 1,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.13 : 3,155.55 = 873.21 : x
  2. Step 2: Convert to fraction form
    2,105.13/3,155.55 = 873.21/x
  3. Step 3: Cross multiply
    2,105.13x = 3,155.55 × 873.21
  4. Step 4: Simplify right side
    2,105.13x = 2,755,457.82
  5. Step 5: Solve for x
    x = 2,755,457.82/2,105.13
  6. Step 6: Final answer
    x = 1,308.93

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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.