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Finding the Fourth Proportional to 2,602.72, 3,904.89 and 872.56

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Solution

The fourth proportional to 2,602.72, 3,904.89 and 872.56 is: 1,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.72 : 3,904.89 = 872.56 : x
  2. Step 2: Convert to fraction form
    2,602.72/3,904.89 = 872.56/x
  3. Step 3: Cross multiply
    2,602.72x = 3,904.89 × 872.56
  4. Step 4: Simplify right side
    2,602.72x = 3,407,250.82
  5. Step 5: Solve for x
    x = 3,407,250.82/2,602.72
  6. Step 6: Final answer
    x = 1,309.11

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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.