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Finding the Fourth Proportional to 2,783.33, 3,844.93 and 2,434.77

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Solution

The fourth proportional to 2,783.33, 3,844.93 and 2,434.77 is: 3,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.33 : 3,844.93 = 2,434.77 : x
  2. Step 2: Convert to fraction form
    2,783.33/3,844.93 = 2,434.77/x
  3. Step 3: Cross multiply
    2,783.33x = 3,844.93 × 2,434.77
  4. Step 4: Simplify right side
    2,783.33x = 9,361,520.22
  5. Step 5: Solve for x
    x = 9,361,520.22/2,783.33
  6. Step 6: Final answer
    x = 3,363.43

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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.