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Finding the Fourth Proportional to 1,930.90, 2,896.25 and 698.29

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Solution

The fourth proportional to 1,930.90, 2,896.25 and 698.29 is: 1,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.90 : 2,896.25 = 698.29 : x
  2. Step 2: Convert to fraction form
    1,930.90/2,896.25 = 698.29/x
  3. Step 3: Cross multiply
    1,930.90x = 2,896.25 × 698.29
  4. Step 4: Simplify right side
    1,930.90x = 2,022,422.41
  5. Step 5: Solve for x
    x = 2,022,422.41/1,930.90
  6. Step 6: Final answer
    x = 1,047.40

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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.