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Finding the Fourth Proportional to 3,290.75, 4,541.24 and 1,893.50

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Solution

The fourth proportional to 3,290.75, 4,541.24 and 1,893.50 is: 2,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.75 : 4,541.24 = 1,893.50 : x
  2. Step 2: Convert to fraction form
    3,290.75/4,541.24 = 1,893.50/x
  3. Step 3: Cross multiply
    3,290.75x = 4,541.24 × 1,893.50
  4. Step 4: Simplify right side
    3,290.75x = 8,598,837.94
  5. Step 5: Solve for x
    x = 8,598,837.94/3,290.75
  6. Step 6: Final answer
    x = 2,613.03

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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.