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Finding the Fourth Proportional to 2,137.13, 3,203.06 and 1,517.48

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Solution

The fourth proportional to 2,137.13, 3,203.06 and 1,517.48 is: 2,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.13 : 3,203.06 = 1,517.48 : x
  2. Step 2: Convert to fraction form
    2,137.13/3,203.06 = 1,517.48/x
  3. Step 3: Cross multiply
    2,137.13x = 3,203.06 × 1,517.48
  4. Step 4: Simplify right side
    2,137.13x = 4,860,555.89
  5. Step 5: Solve for x
    x = 4,860,555.89/2,137.13
  6. Step 6: Final answer
    x = 2,274.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.