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Finding the Fourth Proportional to 2,104.35, 3,153.83 and 872.61

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Solution

The fourth proportional to 2,104.35, 3,153.83 and 872.61 is: 1,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.35 : 3,153.83 = 872.61 : x
  2. Step 2: Convert to fraction form
    2,104.35/3,153.83 = 872.61/x
  3. Step 3: Cross multiply
    2,104.35x = 3,153.83 × 872.61
  4. Step 4: Simplify right side
    2,104.35x = 2,752,059.23
  5. Step 5: Solve for x
    x = 2,752,059.23/2,104.35
  6. Step 6: Final answer
    x = 1,307.80

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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.