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Finding the Fourth Proportional to 2,738, 3,778.52 and 1,496.08

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Solution

The fourth proportional to 2,738, 3,778.52 and 1,496.08 is: 2,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738 : 3,778.52 = 1,496.08 : x
  2. Step 2: Convert to fraction form
    2,738/3,778.52 = 1,496.08/x
  3. Step 3: Cross multiply
    2,738x = 3,778.52 × 1,496.08
  4. Step 4: Simplify right side
    2,738x = 5,652,968.20
  5. Step 5: Solve for x
    x = 5,652,968.20/2,738
  6. Step 6: Final answer
    x = 2,064.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.