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Finding the Fourth Proportional to 2,428.80, 3,643.22 and 697.48

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Solution

The fourth proportional to 2,428.80, 3,643.22 and 697.48 is: 1,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.80 : 3,643.22 = 697.48 : x
  2. Step 2: Convert to fraction form
    2,428.80/3,643.22 = 697.48/x
  3. Step 3: Cross multiply
    2,428.80x = 3,643.22 × 697.48
  4. Step 4: Simplify right side
    2,428.80x = 2,541,073.09
  5. Step 5: Solve for x
    x = 2,541,073.09/2,428.80
  6. Step 6: Final answer
    x = 1,046.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.