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Finding the Fourth Proportional to 2,083.17, 3,124.74 and 622.33

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Solution

The fourth proportional to 2,083.17, 3,124.74 and 622.33 is: 933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.17 : 3,124.74 = 622.33 : x
  2. Step 2: Convert to fraction form
    2,083.17/3,124.74 = 622.33/x
  3. Step 3: Cross multiply
    2,083.17x = 3,124.74 × 622.33
  4. Step 4: Simplify right side
    2,083.17x = 1,944,619.44
  5. Step 5: Solve for x
    x = 1,944,619.44/2,083.17
  6. Step 6: Final answer
    x = 933.49

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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.