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Finding the Fourth Proportional to 3,200.86, 4,799.58 and 1,468

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Solution

The fourth proportional to 3,200.86, 4,799.58 and 1,468 is: 2,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.86 : 4,799.58 = 1,468 : x
  2. Step 2: Convert to fraction form
    3,200.86/4,799.58 = 1,468/x
  3. Step 3: Cross multiply
    3,200.86x = 4,799.58 × 1,468
  4. Step 4: Simplify right side
    3,200.86x = 7,045,783.44
  5. Step 5: Solve for x
    x = 7,045,783.44/3,200.86
  6. Step 6: Final answer
    x = 2,201.22

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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.