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Finding the Fourth Proportional to 2,249.34, 3,103.26 and 1,304.99

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Solution

The fourth proportional to 2,249.34, 3,103.26 and 1,304.99 is: 1,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.34 : 3,103.26 = 1,304.99 : x
  2. Step 2: Convert to fraction form
    2,249.34/3,103.26 = 1,304.99/x
  3. Step 3: Cross multiply
    2,249.34x = 3,103.26 × 1,304.99
  4. Step 4: Simplify right side
    2,249.34x = 4,049,713.11
  5. Step 5: Solve for x
    x = 4,049,713.11/2,249.34
  6. Step 6: Final answer
    x = 1,800.40

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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.