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Finding the Fourth Proportional to 2,747.56, 3,784.03 and 2,374.42

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Solution

The fourth proportional to 2,747.56, 3,784.03 and 2,374.42 is: 3,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.56 : 3,784.03 = 2,374.42 : x
  2. Step 2: Convert to fraction form
    2,747.56/3,784.03 = 2,374.42/x
  3. Step 3: Cross multiply
    2,747.56x = 3,784.03 × 2,374.42
  4. Step 4: Simplify right side
    2,747.56x = 8,984,876.51
  5. Step 5: Solve for x
    x = 8,984,876.51/2,747.56
  6. Step 6: Final answer
    x = 3,270.13

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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.