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Finding the Fourth Proportional to 2,429.09, 3,643.32 and 674.22

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Solution

The fourth proportional to 2,429.09, 3,643.32 and 674.22 is: 1,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.09 : 3,643.32 = 674.22 : x
  2. Step 2: Convert to fraction form
    2,429.09/3,643.32 = 674.22/x
  3. Step 3: Cross multiply
    2,429.09x = 3,643.32 × 674.22
  4. Step 4: Simplify right side
    2,429.09x = 2,456,399.21
  5. Step 5: Solve for x
    x = 2,456,399.21/2,429.09
  6. Step 6: Final answer
    x = 1,011.24

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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.