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Finding the Fourth Proportional to 2,650.05, 3,658.30 and 1,655.98

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Solution

The fourth proportional to 2,650.05, 3,658.30 and 1,655.98 is: 2,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.05 : 3,658.30 = 1,655.98 : x
  2. Step 2: Convert to fraction form
    2,650.05/3,658.30 = 1,655.98/x
  3. Step 3: Cross multiply
    2,650.05x = 3,658.30 × 1,655.98
  4. Step 4: Simplify right side
    2,650.05x = 6,058,058.35
  5. Step 5: Solve for x
    x = 6,058,058.35/2,650.05
  6. Step 6: Final answer
    x = 2,286.02

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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.