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Finding the Fourth Proportional to 2,473.29, 3,710.49 and 829.79

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Solution

The fourth proportional to 2,473.29, 3,710.49 and 829.79 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.29 : 3,710.49 = 829.79 : x
  2. Step 2: Convert to fraction form
    2,473.29/3,710.49 = 829.79/x
  3. Step 3: Cross multiply
    2,473.29x = 3,710.49 × 829.79
  4. Step 4: Simplify right side
    2,473.29x = 3,078,919.75
  5. Step 5: Solve for x
    x = 3,078,919.75/2,473.29
  6. Step 6: Final answer
    x = 1,244.87

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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.