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Finding the Fourth Proportional to 2,908.78, 4,009.70 and 2,277.92

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Solution

The fourth proportional to 2,908.78, 4,009.70 and 2,277.92 is: 3,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.78 : 4,009.70 = 2,277.92 : x
  2. Step 2: Convert to fraction form
    2,908.78/4,009.70 = 2,277.92/x
  3. Step 3: Cross multiply
    2,908.78x = 4,009.70 × 2,277.92
  4. Step 4: Simplify right side
    2,908.78x = 9,133,791.54
  5. Step 5: Solve for x
    x = 9,133,791.54/2,908.78
  6. Step 6: Final answer
    x = 3,140.08

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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.