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Finding the Fourth Proportional to 2,257.44, 3,379.08 and 1,739.46

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Solution

The fourth proportional to 2,257.44, 3,379.08 and 1,739.46 is: 2,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.44 : 3,379.08 = 1,739.46 : x
  2. Step 2: Convert to fraction form
    2,257.44/3,379.08 = 1,739.46/x
  3. Step 3: Cross multiply
    2,257.44x = 3,379.08 × 1,739.46
  4. Step 4: Simplify right side
    2,257.44x = 5,877,774.50
  5. Step 5: Solve for x
    x = 5,877,774.50/2,257.44
  6. Step 6: Final answer
    x = 2,603.73

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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.