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Finding the Fourth Proportional to 3,319.26, 4,978.52 and 2,083

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Solution

The fourth proportional to 3,319.26, 4,978.52 and 2,083 is: 3,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.26 : 4,978.52 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,319.26/4,978.52 = 2,083/x
  3. Step 3: Cross multiply
    3,319.26x = 4,978.52 × 2,083
  4. Step 4: Simplify right side
    3,319.26x = 10,370,257.16
  5. Step 5: Solve for x
    x = 10,370,257.16/3,319.26
  6. Step 6: Final answer
    x = 3,124.27

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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.