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Finding the Fourth Proportional to 2,783.84, 4,177.79 and 2,242.56

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Solution

The fourth proportional to 2,783.84, 4,177.79 and 2,242.56 is: 3,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.84 : 4,177.79 = 2,242.56 : x
  2. Step 2: Convert to fraction form
    2,783.84/4,177.79 = 2,242.56/x
  3. Step 3: Cross multiply
    2,783.84x = 4,177.79 × 2,242.56
  4. Step 4: Simplify right side
    2,783.84x = 9,368,933.53
  5. Step 5: Solve for x
    x = 9,368,933.53/2,783.84
  6. Step 6: Final answer
    x = 3,365.47

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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.