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Finding the Fourth Proportional to 2,650.08, 3,657.24 and 1,602.36

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Solution

The fourth proportional to 2,650.08, 3,657.24 and 1,602.36 is: 2,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.08 : 3,657.24 = 1,602.36 : x
  2. Step 2: Convert to fraction form
    2,650.08/3,657.24 = 1,602.36/x
  3. Step 3: Cross multiply
    2,650.08x = 3,657.24 × 1,602.36
  4. Step 4: Simplify right side
    2,650.08x = 5,860,215.09
  5. Step 5: Solve for x
    x = 5,860,215.09/2,650.08
  6. Step 6: Final answer
    x = 2,211.34

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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.