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Finding the Fourth Proportional to 2,799.80, 4,200.32 and 852.15

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Solution

The fourth proportional to 2,799.80, 4,200.32 and 852.15 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.80 : 4,200.32 = 852.15 : x
  2. Step 2: Convert to fraction form
    2,799.80/4,200.32 = 852.15/x
  3. Step 3: Cross multiply
    2,799.80x = 4,200.32 × 852.15
  4. Step 4: Simplify right side
    2,799.80x = 3,579,298.43
  5. Step 5: Solve for x
    x = 3,579,298.43/2,799.80
  6. Step 6: Final answer
    x = 1,278.41

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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.