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Finding the Fourth Proportional to 2,739.70, 4,108.04 and 1,349.98

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Solution

The fourth proportional to 2,739.70, 4,108.04 and 1,349.98 is: 2,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.70 : 4,108.04 = 1,349.98 : x
  2. Step 2: Convert to fraction form
    2,739.70/4,108.04 = 1,349.98/x
  3. Step 3: Cross multiply
    2,739.70x = 4,108.04 × 1,349.98
  4. Step 4: Simplify right side
    2,739.70x = 5,545,771.84
  5. Step 5: Solve for x
    x = 5,545,771.84/2,739.70
  6. Step 6: Final answer
    x = 2,024.23

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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.