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Finding the Fourth Proportional to 2,084.09, 3,125.36 and 622.74

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Solution

The fourth proportional to 2,084.09, 3,125.36 and 622.74 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.09 : 3,125.36 = 622.74 : x
  2. Step 2: Convert to fraction form
    2,084.09/3,125.36 = 622.74/x
  3. Step 3: Cross multiply
    2,084.09x = 3,125.36 × 622.74
  4. Step 4: Simplify right side
    2,084.09x = 1,946,283.57
  5. Step 5: Solve for x
    x = 1,946,283.57/2,084.09
  6. Step 6: Final answer
    x = 933.88

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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.