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Finding the Fourth Proportional to 2,477.88, 3,716.08 and 834.08

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Solution

The fourth proportional to 2,477.88, 3,716.08 and 834.08 is: 1,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.88 : 3,716.08 = 834.08 : x
  2. Step 2: Convert to fraction form
    2,477.88/3,716.08 = 834.08/x
  3. Step 3: Cross multiply
    2,477.88x = 3,716.08 × 834.08
  4. Step 4: Simplify right side
    2,477.88x = 3,099,508.01
  5. Step 5: Solve for x
    x = 3,099,508.01/2,477.88
  6. Step 6: Final answer
    x = 1,250.87

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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.