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Finding the Fourth Proportional to 2,104.28, 3,155.89 and 872.03

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Solution

The fourth proportional to 2,104.28, 3,155.89 and 872.03 is: 1,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.28 : 3,155.89 = 872.03 : x
  2. Step 2: Convert to fraction form
    2,104.28/3,155.89 = 872.03/x
  3. Step 3: Cross multiply
    2,104.28x = 3,155.89 × 872.03
  4. Step 4: Simplify right side
    2,104.28x = 2,752,030.76
  5. Step 5: Solve for x
    x = 2,752,030.76/2,104.28
  6. Step 6: Final answer
    x = 1,307.83

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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.