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Finding the Fourth Proportional to 1,817.34, 2,508.05 and 1,286.38

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Solution

The fourth proportional to 1,817.34, 2,508.05 and 1,286.38 is: 1,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.34 : 2,508.05 = 1,286.38 : x
  2. Step 2: Convert to fraction form
    1,817.34/2,508.05 = 1,286.38/x
  3. Step 3: Cross multiply
    1,817.34x = 2,508.05 × 1,286.38
  4. Step 4: Simplify right side
    1,817.34x = 3,226,305.36
  5. Step 5: Solve for x
    x = 3,226,305.36/1,817.34
  6. Step 6: Final answer
    x = 1,775.29

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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.