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Finding the Fourth Proportional to 2,083.07, 3,124.61 and 622.23

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Solution

The fourth proportional to 2,083.07, 3,124.61 and 622.23 is: 933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.07 : 3,124.61 = 622.23 : x
  2. Step 2: Convert to fraction form
    2,083.07/3,124.61 = 622.23/x
  3. Step 3: Cross multiply
    2,083.07x = 3,124.61 × 622.23
  4. Step 4: Simplify right side
    2,083.07x = 1,944,222.97
  5. Step 5: Solve for x
    x = 1,944,222.97/2,083.07
  6. Step 6: Final answer
    x = 933.35

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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.