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Finding the Fourth Proportional to 2,816.66, 3,887 and 1,540.54

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Solution

The fourth proportional to 2,816.66, 3,887 and 1,540.54 is: 2,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.66 : 3,887 = 1,540.54 : x
  2. Step 2: Convert to fraction form
    2,816.66/3,887 = 1,540.54/x
  3. Step 3: Cross multiply
    2,816.66x = 3,887 × 1,540.54
  4. Step 4: Simplify right side
    2,816.66x = 5,988,078.98
  5. Step 5: Solve for x
    x = 5,988,078.98/2,816.66
  6. Step 6: Final answer
    x = 2,125.95

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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.