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Finding the Fourth Proportional to 1,879.59, 2,819.31 and 492.90

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Solution

The fourth proportional to 1,879.59, 2,819.31 and 492.90 is: 739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.59 : 2,819.31 = 492.90 : x
  2. Step 2: Convert to fraction form
    1,879.59/2,819.31 = 492.90/x
  3. Step 3: Cross multiply
    1,879.59x = 2,819.31 × 492.90
  4. Step 4: Simplify right side
    1,879.59x = 1,389,628.39
  5. Step 5: Solve for x
    x = 1,389,628.39/1,879.59
  6. Step 6: Final answer
    x = 739.32

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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.