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Finding the Fourth Proportional to 2,842.24, 4,256.22 and 1,799.08

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Solution

The fourth proportional to 2,842.24, 4,256.22 and 1,799.08 is: 2,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.24 : 4,256.22 = 1,799.08 : x
  2. Step 2: Convert to fraction form
    2,842.24/4,256.22 = 1,799.08/x
  3. Step 3: Cross multiply
    2,842.24x = 4,256.22 × 1,799.08
  4. Step 4: Simplify right side
    2,842.24x = 7,657,280.28
  5. Step 5: Solve for x
    x = 7,657,280.28/2,842.24
  6. Step 6: Final answer
    x = 2,694.10

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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.