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Finding the Fourth Proportional to 2,286.71, 3,429.56 and 1,362.53

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Solution

The fourth proportional to 2,286.71, 3,429.56 and 1,362.53 is: 2,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.71 : 3,429.56 = 1,362.53 : x
  2. Step 2: Convert to fraction form
    2,286.71/3,429.56 = 1,362.53/x
  3. Step 3: Cross multiply
    2,286.71x = 3,429.56 × 1,362.53
  4. Step 4: Simplify right side
    2,286.71x = 4,672,880.15
  5. Step 5: Solve for x
    x = 4,672,880.15/2,286.71
  6. Step 6: Final answer
    x = 2,043.49

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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.