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Finding the Fourth Proportional to 1,799.36, 2,695.44 and 824.12

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Solution

The fourth proportional to 1,799.36, 2,695.44 and 824.12 is: 1,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.36 : 2,695.44 = 824.12 : x
  2. Step 2: Convert to fraction form
    1,799.36/2,695.44 = 824.12/x
  3. Step 3: Cross multiply
    1,799.36x = 2,695.44 × 824.12
  4. Step 4: Simplify right side
    1,799.36x = 2,221,366.01
  5. Step 5: Solve for x
    x = 2,221,366.01/1,799.36
  6. Step 6: Final answer
    x = 1,234.53

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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.