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Finding the Fourth Proportional to 2,705.62, 3,733.17 and 1,586.62

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Solution

The fourth proportional to 2,705.62, 3,733.17 and 1,586.62 is: 2,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.62 : 3,733.17 = 1,586.62 : x
  2. Step 2: Convert to fraction form
    2,705.62/3,733.17 = 1,586.62/x
  3. Step 3: Cross multiply
    2,705.62x = 3,733.17 × 1,586.62
  4. Step 4: Simplify right side
    2,705.62x = 5,923,122.19
  5. Step 5: Solve for x
    x = 5,923,122.19/2,705.62
  6. Step 6: Final answer
    x = 2,189.19

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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.