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Finding the Fourth Proportional to 2,277.94, 3,400.27 and 1,955.38

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Solution

The fourth proportional to 2,277.94, 3,400.27 and 1,955.38 is: 2,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.94 : 3,400.27 = 1,955.38 : x
  2. Step 2: Convert to fraction form
    2,277.94/3,400.27 = 1,955.38/x
  3. Step 3: Cross multiply
    2,277.94x = 3,400.27 × 1,955.38
  4. Step 4: Simplify right side
    2,277.94x = 6,648,819.95
  5. Step 5: Solve for x
    x = 6,648,819.95/2,277.94
  6. Step 6: Final answer
    x = 2,918.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.