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Finding the Fourth Proportional to 3,097.94, 4,277.25 and 2,051.78

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Solution

The fourth proportional to 3,097.94, 4,277.25 and 2,051.78 is: 2,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.94 : 4,277.25 = 2,051.78 : x
  2. Step 2: Convert to fraction form
    3,097.94/4,277.25 = 2,051.78/x
  3. Step 3: Cross multiply
    3,097.94x = 4,277.25 × 2,051.78
  4. Step 4: Simplify right side
    3,097.94x = 8,775,976.01
  5. Step 5: Solve for x
    x = 8,775,976.01/3,097.94
  6. Step 6: Final answer
    x = 2,832.84

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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.