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Finding the Fourth Proportional to 2,743.34, 4,115.01 and 795.55

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Solution

The fourth proportional to 2,743.34, 4,115.01 and 795.55 is: 1,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.34 : 4,115.01 = 795.55 : x
  2. Step 2: Convert to fraction form
    2,743.34/4,115.01 = 795.55/x
  3. Step 3: Cross multiply
    2,743.34x = 4,115.01 × 795.55
  4. Step 4: Simplify right side
    2,743.34x = 3,273,675.63
  5. Step 5: Solve for x
    x = 3,273,675.63/2,743.34
  6. Step 6: Final answer
    x = 1,193.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.