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Finding the Fourth Proportional to 2,509.56, 3,767.78 and 1,277.79

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Solution

The fourth proportional to 2,509.56, 3,767.78 and 1,277.79 is: 1,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.56 : 3,767.78 = 1,277.79 : x
  2. Step 2: Convert to fraction form
    2,509.56/3,767.78 = 1,277.79/x
  3. Step 3: Cross multiply
    2,509.56x = 3,767.78 × 1,277.79
  4. Step 4: Simplify right side
    2,509.56x = 4,814,431.61
  5. Step 5: Solve for x
    x = 4,814,431.61/2,509.56
  6. Step 6: Final answer
    x = 1,918.44

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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.