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Finding the Fourth Proportional to 2,767.71, 3,819.36 and 1,588.75

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Solution

The fourth proportional to 2,767.71, 3,819.36 and 1,588.75 is: 2,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.71 : 3,819.36 = 1,588.75 : x
  2. Step 2: Convert to fraction form
    2,767.71/3,819.36 = 1,588.75/x
  3. Step 3: Cross multiply
    2,767.71x = 3,819.36 × 1,588.75
  4. Step 4: Simplify right side
    2,767.71x = 6,068,008.20
  5. Step 5: Solve for x
    x = 6,068,008.20/2,767.71
  6. Step 6: Final answer
    x = 2,192.43

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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.