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Finding the Fourth Proportional to 2,857.66, 3,942.84 and 1,678.51

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Solution

The fourth proportional to 2,857.66, 3,942.84 and 1,678.51 is: 2,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.66 : 3,942.84 = 1,678.51 : x
  2. Step 2: Convert to fraction form
    2,857.66/3,942.84 = 1,678.51/x
  3. Step 3: Cross multiply
    2,857.66x = 3,942.84 × 1,678.51
  4. Step 4: Simplify right side
    2,857.66x = 6,618,096.37
  5. Step 5: Solve for x
    x = 6,618,096.37/2,857.66
  6. Step 6: Final answer
    x = 2,315.91

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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.