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Finding the Fourth Proportional to 2,741.72, 4,108.50 and 1,439.24

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Solution

The fourth proportional to 2,741.72, 4,108.50 and 1,439.24 is: 2,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.72 : 4,108.50 = 1,439.24 : x
  2. Step 2: Convert to fraction form
    2,741.72/4,108.50 = 1,439.24/x
  3. Step 3: Cross multiply
    2,741.72x = 4,108.50 × 1,439.24
  4. Step 4: Simplify right side
    2,741.72x = 5,913,097.00
  5. Step 5: Solve for x
    x = 5,913,097.00/2,741.72
  6. Step 6: Final answer
    x = 2,156.71

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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.