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Finding the Fourth Proportional to 1,819.64, 2,494.72 and 1,786.82

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Solution

The fourth proportional to 1,819.64, 2,494.72 and 1,786.82 is: 2,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.64 : 2,494.72 = 1,786.82 : x
  2. Step 2: Convert to fraction form
    1,819.64/2,494.72 = 1,786.82/x
  3. Step 3: Cross multiply
    1,819.64x = 2,494.72 × 1,786.82
  4. Step 4: Simplify right side
    1,819.64x = 4,457,615.59
  5. Step 5: Solve for x
    x = 4,457,615.59/1,819.64
  6. Step 6: Final answer
    x = 2,449.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.