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Finding the Fourth Proportional to 2,786.84, 3,847.20 and 1,607.68

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Solution

The fourth proportional to 2,786.84, 3,847.20 and 1,607.68 is: 2,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.84 : 3,847.20 = 1,607.68 : x
  2. Step 2: Convert to fraction form
    2,786.84/3,847.20 = 1,607.68/x
  3. Step 3: Cross multiply
    2,786.84x = 3,847.20 × 1,607.68
  4. Step 4: Simplify right side
    2,786.84x = 6,185,066.50
  5. Step 5: Solve for x
    x = 6,185,066.50/2,786.84
  6. Step 6: Final answer
    x = 2,219.38

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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.