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Finding the Fourth Proportional to 2,616.14, 3,610.21 and 1,437.22

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Solution

The fourth proportional to 2,616.14, 3,610.21 and 1,437.22 is: 1,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.14 : 3,610.21 = 1,437.22 : x
  2. Step 2: Convert to fraction form
    2,616.14/3,610.21 = 1,437.22/x
  3. Step 3: Cross multiply
    2,616.14x = 3,610.21 × 1,437.22
  4. Step 4: Simplify right side
    2,616.14x = 5,188,644.37
  5. Step 5: Solve for x
    x = 5,188,644.37/2,616.14
  6. Step 6: Final answer
    x = 1,983.32

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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.