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Finding the Fourth Proportional to 2,784.93, 3,839.13 and 2,120.63

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Solution

The fourth proportional to 2,784.93, 3,839.13 and 2,120.63 is: 2,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.93 : 3,839.13 = 2,120.63 : x
  2. Step 2: Convert to fraction form
    2,784.93/3,839.13 = 2,120.63/x
  3. Step 3: Cross multiply
    2,784.93x = 3,839.13 × 2,120.63
  4. Step 4: Simplify right side
    2,784.93x = 8,141,344.45
  5. Step 5: Solve for x
    x = 8,141,344.45/2,784.93
  6. Step 6: Final answer
    x = 2,923.36

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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.