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Finding the Fourth Proportional to 2,344.99, 3,235.99 and 1,297.03

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Solution

The fourth proportional to 2,344.99, 3,235.99 and 1,297.03 is: 1,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.99 : 3,235.99 = 1,297.03 : x
  2. Step 2: Convert to fraction form
    2,344.99/3,235.99 = 1,297.03/x
  3. Step 3: Cross multiply
    2,344.99x = 3,235.99 × 1,297.03
  4. Step 4: Simplify right side
    2,344.99x = 4,197,176.11
  5. Step 5: Solve for x
    x = 4,197,176.11/2,344.99
  6. Step 6: Final answer
    x = 1,789.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.