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Finding the Fourth Proportional to 2,614.73, 3,610.02 and 1,621.06

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Solution

The fourth proportional to 2,614.73, 3,610.02 and 1,621.06 is: 2,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.73 : 3,610.02 = 1,621.06 : x
  2. Step 2: Convert to fraction form
    2,614.73/3,610.02 = 1,621.06/x
  3. Step 3: Cross multiply
    2,614.73x = 3,610.02 × 1,621.06
  4. Step 4: Simplify right side
    2,614.73x = 5,852,063.99
  5. Step 5: Solve for x
    x = 5,852,063.99/2,614.73
  6. Step 6: Final answer
    x = 2,238.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.