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Finding the Fourth Proportional to 2,969.71, 4,444.22 and 1,799.06

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Solution

The fourth proportional to 2,969.71, 4,444.22 and 1,799.06 is: 2,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.71 : 4,444.22 = 1,799.06 : x
  2. Step 2: Convert to fraction form
    2,969.71/4,444.22 = 1,799.06/x
  3. Step 3: Cross multiply
    2,969.71x = 4,444.22 × 1,799.06
  4. Step 4: Simplify right side
    2,969.71x = 7,995,400.71
  5. Step 5: Solve for x
    x = 7,995,400.71/2,969.71
  6. Step 6: Final answer
    x = 2,692.32

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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.