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Finding the Fourth Proportional to 2,054.78, 3,083.54 and 756.25

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Solution

The fourth proportional to 2,054.78, 3,083.54 and 756.25 is: 1,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.78 : 3,083.54 = 756.25 : x
  2. Step 2: Convert to fraction form
    2,054.78/3,083.54 = 756.25/x
  3. Step 3: Cross multiply
    2,054.78x = 3,083.54 × 756.25
  4. Step 4: Simplify right side
    2,054.78x = 2,331,933.72
  5. Step 5: Solve for x
    x = 2,331,933.72/2,054.78
  6. Step 6: Final answer
    x = 1,134.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.