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Finding the Fourth Proportional to 2,646.20, 3,969.30 and 698.38

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Solution

The fourth proportional to 2,646.20, 3,969.30 and 698.38 is: 1,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.20 : 3,969.30 = 698.38 : x
  2. Step 2: Convert to fraction form
    2,646.20/3,969.30 = 698.38/x
  3. Step 3: Cross multiply
    2,646.20x = 3,969.30 × 698.38
  4. Step 4: Simplify right side
    2,646.20x = 2,772,079.73
  5. Step 5: Solve for x
    x = 2,772,079.73/2,646.20
  6. Step 6: Final answer
    x = 1,047.57

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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.