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Finding the Fourth Proportional to 2,857.72, 3,943.84 and 1,678.98

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Solution

The fourth proportional to 2,857.72, 3,943.84 and 1,678.98 is: 2,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.72 : 3,943.84 = 1,678.98 : x
  2. Step 2: Convert to fraction form
    2,857.72/3,943.84 = 1,678.98/x
  3. Step 3: Cross multiply
    2,857.72x = 3,943.84 × 1,678.98
  4. Step 4: Simplify right side
    2,857.72x = 6,621,628.48
  5. Step 5: Solve for x
    x = 6,621,628.48/2,857.72
  6. Step 6: Final answer
    x = 2,317.10

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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.