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Finding the Fourth Proportional to 3,100.54, 4,649.54 and 1,539.98

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Solution

The fourth proportional to 3,100.54, 4,649.54 and 1,539.98 is: 2,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.54 : 4,649.54 = 1,539.98 : x
  2. Step 2: Convert to fraction form
    3,100.54/4,649.54 = 1,539.98/x
  3. Step 3: Cross multiply
    3,100.54x = 4,649.54 × 1,539.98
  4. Step 4: Simplify right side
    3,100.54x = 7,160,198.61
  5. Step 5: Solve for x
    x = 7,160,198.61/3,100.54
  6. Step 6: Final answer
    x = 2,309.34

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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.