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Finding the Fourth Proportional to 2,477.47, 3,716.38 and 834

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Solution

The fourth proportional to 2,477.47, 3,716.38 and 834 is: 1,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.47 : 3,716.38 = 834 : x
  2. Step 2: Convert to fraction form
    2,477.47/3,716.38 = 834/x
  3. Step 3: Cross multiply
    2,477.47x = 3,716.38 × 834
  4. Step 4: Simplify right side
    2,477.47x = 3,099,460.92
  5. Step 5: Solve for x
    x = 3,099,460.92/2,477.47
  6. Step 6: Final answer
    x = 1,251.06

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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.