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Finding the Fourth Proportional to 2,857.56, 4,282.81 and 1,686.38

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Solution

The fourth proportional to 2,857.56, 4,282.81 and 1,686.38 is: 2,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.56 : 4,282.81 = 1,686.38 : x
  2. Step 2: Convert to fraction form
    2,857.56/4,282.81 = 1,686.38/x
  3. Step 3: Cross multiply
    2,857.56x = 4,282.81 × 1,686.38
  4. Step 4: Simplify right side
    2,857.56x = 7,222,419.50
  5. Step 5: Solve for x
    x = 7,222,419.50/2,857.56
  6. Step 6: Final answer
    x = 2,527.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.