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Finding the Fourth Proportional to 2,853.56, 3,938.42 and 1,846.50

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Solution

The fourth proportional to 2,853.56, 3,938.42 and 1,846.50 is: 2,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.56 : 3,938.42 = 1,846.50 : x
  2. Step 2: Convert to fraction form
    2,853.56/3,938.42 = 1,846.50/x
  3. Step 3: Cross multiply
    2,853.56x = 3,938.42 × 1,846.50
  4. Step 4: Simplify right side
    2,853.56x = 7,272,297.15
  5. Step 5: Solve for x
    x = 7,272,297.15/2,853.56
  6. Step 6: Final answer
    x = 2,548.50

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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.