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Finding the Fourth Proportional to 2,767.22, 3,819.14 and 1,588.06

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Solution

The fourth proportional to 2,767.22, 3,819.14 and 1,588.06 is: 2,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.22 : 3,819.14 = 1,588.06 : x
  2. Step 2: Convert to fraction form
    2,767.22/3,819.14 = 1,588.06/x
  3. Step 3: Cross multiply
    2,767.22x = 3,819.14 × 1,588.06
  4. Step 4: Simplify right side
    2,767.22x = 6,065,023.47
  5. Step 5: Solve for x
    x = 6,065,023.47/2,767.22
  6. Step 6: Final answer
    x = 2,191.74

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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.