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Finding the Fourth Proportional to 2,354.88, 3,252 and 1,799.20

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Solution

The fourth proportional to 2,354.88, 3,252 and 1,799.20 is: 2,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.88 : 3,252 = 1,799.20 : x
  2. Step 2: Convert to fraction form
    2,354.88/3,252 = 1,799.20/x
  3. Step 3: Cross multiply
    2,354.88x = 3,252 × 1,799.20
  4. Step 4: Simplify right side
    2,354.88x = 5,850,998.40
  5. Step 5: Solve for x
    x = 5,850,998.40/2,354.88
  6. Step 6: Final answer
    x = 2,484.63

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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.