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Finding the Fourth Proportional to 2,429.82, 3,645.04 and 698.48

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Solution

The fourth proportional to 2,429.82, 3,645.04 and 698.48 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.82 : 3,645.04 = 698.48 : x
  2. Step 2: Convert to fraction form
    2,429.82/3,645.04 = 698.48/x
  3. Step 3: Cross multiply
    2,429.82x = 3,645.04 × 698.48
  4. Step 4: Simplify right side
    2,429.82x = 2,545,987.54
  5. Step 5: Solve for x
    x = 2,545,987.54/2,429.82
  6. Step 6: Final answer
    x = 1,047.81

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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.