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Finding the Fourth Proportional to 3,083.56, 4,625.46 and 1,987

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Solution

The fourth proportional to 3,083.56, 4,625.46 and 1,987 is: 2,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.56 : 4,625.46 = 1,987 : x
  2. Step 2: Convert to fraction form
    3,083.56/4,625.46 = 1,987/x
  3. Step 3: Cross multiply
    3,083.56x = 4,625.46 × 1,987
  4. Step 4: Simplify right side
    3,083.56x = 9,190,789.02
  5. Step 5: Solve for x
    x = 9,190,789.02/3,083.56
  6. Step 6: Final answer
    x = 2,980.58

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1.5x scale

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.