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Finding the Fourth Proportional to 2,243.37, 3,365.19 and 683.48

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Solution

The fourth proportional to 2,243.37, 3,365.19 and 683.48 is: 1,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.37 : 3,365.19 = 683.48 : x
  2. Step 2: Convert to fraction form
    2,243.37/3,365.19 = 683.48/x
  3. Step 3: Cross multiply
    2,243.37x = 3,365.19 × 683.48
  4. Step 4: Simplify right side
    2,243.37x = 2,300,048.47
  5. Step 5: Solve for x
    x = 2,300,048.47/2,243.37
  6. Step 6: Final answer
    x = 1,025.26

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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.