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Finding the Fourth Proportional to 2,739.72, 4,109.34 and 1,423.46

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Solution

The fourth proportional to 2,739.72, 4,109.34 and 1,423.46 is: 2,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.72 : 4,109.34 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    2,739.72/4,109.34 = 1,423.46/x
  3. Step 3: Cross multiply
    2,739.72x = 4,109.34 × 1,423.46
  4. Step 4: Simplify right side
    2,739.72x = 5,849,481.12
  5. Step 5: Solve for x
    x = 5,849,481.12/2,739.72
  6. Step 6: Final answer
    x = 2,135.07

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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.