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Finding the Fourth Proportional to 2,650.59, 3,656.34 and 2,462.87

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Solution

The fourth proportional to 2,650.59, 3,656.34 and 2,462.87 is: 3,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.59 : 3,656.34 = 2,462.87 : x
  2. Step 2: Convert to fraction form
    2,650.59/3,656.34 = 2,462.87/x
  3. Step 3: Cross multiply
    2,650.59x = 3,656.34 × 2,462.87
  4. Step 4: Simplify right side
    2,650.59x = 9,005,099.24
  5. Step 5: Solve for x
    x = 9,005,099.24/2,650.59
  6. Step 6: Final answer
    x = 3,397.39

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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.