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Finding the Fourth Proportional to 1,799.83, 2,484.20 and 1,202.36

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Solution

The fourth proportional to 1,799.83, 2,484.20 and 1,202.36 is: 1,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.83 : 2,484.20 = 1,202.36 : x
  2. Step 2: Convert to fraction form
    1,799.83/2,484.20 = 1,202.36/x
  3. Step 3: Cross multiply
    1,799.83x = 2,484.20 × 1,202.36
  4. Step 4: Simplify right side
    1,799.83x = 2,986,893.30
  5. Step 5: Solve for x
    x = 2,986,893.30/1,799.83
  6. Step 6: Final answer
    x = 1,659.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.