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Finding the Fourth Proportional to 2,799.18, 4,198.98 and 1,156.50

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Solution

The fourth proportional to 2,799.18, 4,198.98 and 1,156.50 is: 1,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.18 : 4,198.98 = 1,156.50 : x
  2. Step 2: Convert to fraction form
    2,799.18/4,198.98 = 1,156.50/x
  3. Step 3: Cross multiply
    2,799.18x = 4,198.98 × 1,156.50
  4. Step 4: Simplify right side
    2,799.18x = 4,856,120.37
  5. Step 5: Solve for x
    x = 4,856,120.37/2,799.18
  6. Step 6: Final answer
    x = 1,734.84

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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.