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Finding the Fourth Proportional to 2,243.90, 3,366.26 and 683.84

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Solution

The fourth proportional to 2,243.90, 3,366.26 and 683.84 is: 1,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.90 : 3,366.26 = 683.84 : x
  2. Step 2: Convert to fraction form
    2,243.90/3,366.26 = 683.84/x
  3. Step 3: Cross multiply
    2,243.90x = 3,366.26 × 683.84
  4. Step 4: Simplify right side
    2,243.90x = 2,301,990.80
  5. Step 5: Solve for x
    x = 2,301,990.80/2,243.90
  6. Step 6: Final answer
    x = 1,025.89

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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.