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Finding the Fourth Proportional to 2,427.37, 3,643.99 and 1,606.37

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Solution

The fourth proportional to 2,427.37, 3,643.99 and 1,606.37 is: 2,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.37 : 3,643.99 = 1,606.37 : x
  2. Step 2: Convert to fraction form
    2,427.37/3,643.99 = 1,606.37/x
  3. Step 3: Cross multiply
    2,427.37x = 3,643.99 × 1,606.37
  4. Step 4: Simplify right side
    2,427.37x = 5,853,573.98
  5. Step 5: Solve for x
    x = 5,853,573.98/2,427.37
  6. Step 6: Final answer
    x = 2,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.