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Finding the Fourth Proportional to 2,786.77, 3,845.77 and 1,607.86

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Solution

The fourth proportional to 2,786.77, 3,845.77 and 1,607.86 is: 2,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.77 : 3,845.77 = 1,607.86 : x
  2. Step 2: Convert to fraction form
    2,786.77/3,845.77 = 1,607.86/x
  3. Step 3: Cross multiply
    2,786.77x = 3,845.77 × 1,607.86
  4. Step 4: Simplify right side
    2,786.77x = 6,183,451.71
  5. Step 5: Solve for x
    x = 6,183,451.71/2,786.77
  6. Step 6: Final answer
    x = 2,218.86

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1.5x scale

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.