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Finding the Fourth Proportional to 2,477.87, 3,717.17 and 833.86

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Solution

The fourth proportional to 2,477.87, 3,717.17 and 833.86 is: 1,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.87 : 3,717.17 = 833.86 : x
  2. Step 2: Convert to fraction form
    2,477.87/3,717.17 = 833.86/x
  3. Step 3: Cross multiply
    2,477.87x = 3,717.17 × 833.86
  4. Step 4: Simplify right side
    2,477.87x = 3,099,576.62
  5. Step 5: Solve for x
    x = 3,099,576.62/2,477.87
  6. Step 6: Final answer
    x = 1,250.90

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1.5x scale

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.