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Finding the Fourth Proportional to 2,407.88, 3,606.24 and 1,757

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Solution

The fourth proportional to 2,407.88, 3,606.24 and 1,757 is: 2,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.88 : 3,606.24 = 1,757 : x
  2. Step 2: Convert to fraction form
    2,407.88/3,606.24 = 1,757/x
  3. Step 3: Cross multiply
    2,407.88x = 3,606.24 × 1,757
  4. Step 4: Simplify right side
    2,407.88x = 6,336,163.68
  5. Step 5: Solve for x
    x = 6,336,163.68/2,407.88
  6. Step 6: Final answer
    x = 2,631.43

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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.