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Finding the Fourth Proportional to 2,336.65, 3,219.70 and 1,589.31

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Solution

The fourth proportional to 2,336.65, 3,219.70 and 1,589.31 is: 2,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.65 : 3,219.70 = 1,589.31 : x
  2. Step 2: Convert to fraction form
    2,336.65/3,219.70 = 1,589.31/x
  3. Step 3: Cross multiply
    2,336.65x = 3,219.70 × 1,589.31
  4. Step 4: Simplify right side
    2,336.65x = 5,117,105.38
  5. Step 5: Solve for x
    x = 5,117,105.38/2,336.65
  6. Step 6: Final answer
    x = 2,189.93

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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.