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Finding the Fourth Proportional to 3,140.56, 4,334.04 and 1,743.44

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Solution

The fourth proportional to 3,140.56, 4,334.04 and 1,743.44 is: 2,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.56 : 4,334.04 = 1,743.44 : x
  2. Step 2: Convert to fraction form
    3,140.56/4,334.04 = 1,743.44/x
  3. Step 3: Cross multiply
    3,140.56x = 4,334.04 × 1,743.44
  4. Step 4: Simplify right side
    3,140.56x = 7,556,138.70
  5. Step 5: Solve for x
    x = 7,556,138.70/3,140.56
  6. Step 6: Final answer
    x = 2,405.98

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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.