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Finding the Fourth Proportional to 2,057.22, 2,837.30 and 1,270.71

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Solution

The fourth proportional to 2,057.22, 2,837.30 and 1,270.71 is: 1,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.22 : 2,837.30 = 1,270.71 : x
  2. Step 2: Convert to fraction form
    2,057.22/2,837.30 = 1,270.71/x
  3. Step 3: Cross multiply
    2,057.22x = 2,837.30 × 1,270.71
  4. Step 4: Simplify right side
    2,057.22x = 3,605,379.13
  5. Step 5: Solve for x
    x = 3,605,379.13/2,057.22
  6. Step 6: Final answer
    x = 1,752.55

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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.