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Finding the Fourth Proportional to 2,115.19, 3,172.79 and 728.92

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Solution

The fourth proportional to 2,115.19, 3,172.79 and 728.92 is: 1,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.19 : 3,172.79 = 728.92 : x
  2. Step 2: Convert to fraction form
    2,115.19/3,172.79 = 728.92/x
  3. Step 3: Cross multiply
    2,115.19x = 3,172.79 × 728.92
  4. Step 4: Simplify right side
    2,115.19x = 2,312,710.09
  5. Step 5: Solve for x
    x = 2,312,710.09/2,115.19
  6. Step 6: Final answer
    x = 1,093.38

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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.