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Finding the Fourth Proportional to 2,752.98, 3,799.24 and 1,633.96

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Solution

The fourth proportional to 2,752.98, 3,799.24 and 1,633.96 is: 2,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.98 : 3,799.24 = 1,633.96 : x
  2. Step 2: Convert to fraction form
    2,752.98/3,799.24 = 1,633.96/x
  3. Step 3: Cross multiply
    2,752.98x = 3,799.24 × 1,633.96
  4. Step 4: Simplify right side
    2,752.98x = 6,207,806.19
  5. Step 5: Solve for x
    x = 6,207,806.19/2,752.98
  6. Step 6: Final answer
    x = 2,254.94

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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.