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Finding the Fourth Proportional to 2,767.66, 3,819.46 and 1,588.96

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Solution

The fourth proportional to 2,767.66, 3,819.46 and 1,588.96 is: 2,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.66 : 3,819.46 = 1,588.96 : x
  2. Step 2: Convert to fraction form
    2,767.66/3,819.46 = 1,588.96/x
  3. Step 3: Cross multiply
    2,767.66x = 3,819.46 × 1,588.96
  4. Step 4: Simplify right side
    2,767.66x = 6,068,969.16
  5. Step 5: Solve for x
    x = 6,068,969.16/2,767.66
  6. Step 6: Final answer
    x = 2,192.82

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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.