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Finding the Fourth Proportional to 2,077.54, 2,866.67 and 1,238.22

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Solution

The fourth proportional to 2,077.54, 2,866.67 and 1,238.22 is: 1,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.54 : 2,866.67 = 1,238.22 : x
  2. Step 2: Convert to fraction form
    2,077.54/2,866.67 = 1,238.22/x
  3. Step 3: Cross multiply
    2,077.54x = 2,866.67 × 1,238.22
  4. Step 4: Simplify right side
    2,077.54x = 3,549,561.94
  5. Step 5: Solve for x
    x = 3,549,561.94/2,077.54
  6. Step 6: Final answer
    x = 1,708.54

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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.