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Finding the Fourth Proportional to 2,741.79, 4,107.49 and 1,353.50

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Solution

The fourth proportional to 2,741.79, 4,107.49 and 1,353.50 is: 2,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.79 : 4,107.49 = 1,353.50 : x
  2. Step 2: Convert to fraction form
    2,741.79/4,107.49 = 1,353.50/x
  3. Step 3: Cross multiply
    2,741.79x = 4,107.49 × 1,353.50
  4. Step 4: Simplify right side
    2,741.79x = 5,559,487.72
  5. Step 5: Solve for x
    x = 5,559,487.72/2,741.79
  6. Step 6: Final answer
    x = 2,027.69

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Why These Related Problems?

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