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Finding the Fourth Proportional to 1,789.36, 2,683.13 and 1,713.62

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Solution

The fourth proportional to 1,789.36, 2,683.13 and 1,713.62 is: 2,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.36 : 2,683.13 = 1,713.62 : x
  2. Step 2: Convert to fraction form
    1,789.36/2,683.13 = 1,713.62/x
  3. Step 3: Cross multiply
    1,789.36x = 2,683.13 × 1,713.62
  4. Step 4: Simplify right side
    1,789.36x = 4,597,863.37
  5. Step 5: Solve for x
    x = 4,597,863.37/1,789.36
  6. Step 6: Final answer
    x = 2,569.56

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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.