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Finding the Fourth Proportional to 2,786.06, 3,844.62 and 1,607.06

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Solution

The fourth proportional to 2,786.06, 3,844.62 and 1,607.06 is: 2,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.06 : 3,844.62 = 1,607.06 : x
  2. Step 2: Convert to fraction form
    2,786.06/3,844.62 = 1,607.06/x
  3. Step 3: Cross multiply
    2,786.06x = 3,844.62 × 1,607.06
  4. Step 4: Simplify right side
    2,786.06x = 6,178,535.02
  5. Step 5: Solve for x
    x = 6,178,535.02/2,786.06
  6. Step 6: Final answer
    x = 2,217.66

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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.