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Finding the Fourth Proportional to 2,767.57, 3,819.21 and 1,588.82

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Solution

The fourth proportional to 2,767.57, 3,819.21 and 1,588.82 is: 2,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.57 : 3,819.21 = 1,588.82 : x
  2. Step 2: Convert to fraction form
    2,767.57/3,819.21 = 1,588.82/x
  3. Step 3: Cross multiply
    2,767.57x = 3,819.21 × 1,588.82
  4. Step 4: Simplify right side
    2,767.57x = 6,068,037.23
  5. Step 5: Solve for x
    x = 6,068,037.23/2,767.57
  6. Step 6: Final answer
    x = 2,192.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.