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Finding the Fourth Proportional to 2,359.86, 3,539.82 and 820.86

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Solution

The fourth proportional to 2,359.86, 3,539.82 and 820.86 is: 1,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.86 : 3,539.82 = 820.86 : x
  2. Step 2: Convert to fraction form
    2,359.86/3,539.82 = 820.86/x
  3. Step 3: Cross multiply
    2,359.86x = 3,539.82 × 820.86
  4. Step 4: Simplify right side
    2,359.86x = 2,905,696.65
  5. Step 5: Solve for x
    x = 2,905,696.65/2,359.86
  6. Step 6: Final answer
    x = 1,231.30

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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.