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Finding the Fourth Proportional to 2,429.80, 3,644.70 and 698.20

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Solution

The fourth proportional to 2,429.80, 3,644.70 and 698.20 is: 1,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.80 : 3,644.70 = 698.20 : x
  2. Step 2: Convert to fraction form
    2,429.80/3,644.70 = 698.20/x
  3. Step 3: Cross multiply
    2,429.80x = 3,644.70 × 698.20
  4. Step 4: Simplify right side
    2,429.80x = 2,544,729.54
  5. Step 5: Solve for x
    x = 2,544,729.54/2,429.80
  6. Step 6: Final answer
    x = 1,047.30

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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.