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Finding the Fourth Proportional to 2,222.25, 3,333.38 and 683.25

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Solution

The fourth proportional to 2,222.25, 3,333.38 and 683.25 is: 1,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.25 : 3,333.38 = 683.25 : x
  2. Step 2: Convert to fraction form
    2,222.25/3,333.38 = 683.25/x
  3. Step 3: Cross multiply
    2,222.25x = 3,333.38 × 683.25
  4. Step 4: Simplify right side
    2,222.25x = 2,277,528.47
  5. Step 5: Solve for x
    x = 2,277,528.47/2,222.25
  6. Step 6: Final answer
    x = 1,024.88

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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.