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Finding the Fourth Proportional to 1,879.81, 2,819.81 and 1,187.06

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Solution

The fourth proportional to 1,879.81, 2,819.81 and 1,187.06 is: 1,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.81 : 2,819.81 = 1,187.06 : x
  2. Step 2: Convert to fraction form
    1,879.81/2,819.81 = 1,187.06/x
  3. Step 3: Cross multiply
    1,879.81x = 2,819.81 × 1,187.06
  4. Step 4: Simplify right side
    1,879.81x = 3,347,272.53
  5. Step 5: Solve for x
    x = 3,347,272.53/1,879.81
  6. Step 6: Final answer
    x = 1,780.65

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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.