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Finding the Fourth Proportional to 2,083.68, 3,125.54 and 622.84

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Solution

The fourth proportional to 2,083.68, 3,125.54 and 622.84 is: 934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 3,125.54 = 622.84 : x
  2. Step 2: Convert to fraction form
    2,083.68/3,125.54 = 622.84/x
  3. Step 3: Cross multiply
    2,083.68x = 3,125.54 × 622.84
  4. Step 4: Simplify right side
    2,083.68x = 1,946,711.33
  5. Step 5: Solve for x
    x = 1,946,711.33/2,083.68
  6. Step 6: Final answer
    x = 934.27

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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.