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Finding the Fourth Proportional to 2,700.22, 3,714.58 and 2,201.76

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Solution

The fourth proportional to 2,700.22, 3,714.58 and 2,201.76 is: 3,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.22 : 3,714.58 = 2,201.76 : x
  2. Step 2: Convert to fraction form
    2,700.22/3,714.58 = 2,201.76/x
  3. Step 3: Cross multiply
    2,700.22x = 3,714.58 × 2,201.76
  4. Step 4: Simplify right side
    2,700.22x = 8,178,613.66
  5. Step 5: Solve for x
    x = 8,178,613.66/2,700.22
  6. Step 6: Final answer
    x = 3,028.87

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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.