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Finding the Fourth Proportional to 2,286.78, 3,157.30 and 1,728.42

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Solution

The fourth proportional to 2,286.78, 3,157.30 and 1,728.42 is: 2,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.78 : 3,157.30 = 1,728.42 : x
  2. Step 2: Convert to fraction form
    2,286.78/3,157.30 = 1,728.42/x
  3. Step 3: Cross multiply
    2,286.78x = 3,157.30 × 1,728.42
  4. Step 4: Simplify right side
    2,286.78x = 5,457,140.47
  5. Step 5: Solve for x
    x = 5,457,140.47/2,286.78
  6. Step 6: Final answer
    x = 2,386.39

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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.