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Finding the Fourth Proportional to 2,793.84, 3,853.34 and 2,047.52

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Solution

The fourth proportional to 2,793.84, 3,853.34 and 2,047.52 is: 2,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.84 : 3,853.34 = 2,047.52 : x
  2. Step 2: Convert to fraction form
    2,793.84/3,853.34 = 2,047.52/x
  3. Step 3: Cross multiply
    2,793.84x = 3,853.34 × 2,047.52
  4. Step 4: Simplify right side
    2,793.84x = 7,889,790.72
  5. Step 5: Solve for x
    x = 7,889,790.72/2,793.84
  6. Step 6: Final answer
    x = 2,824.00

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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.