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Finding the Fourth Proportional to 2,243.56, 3,365.34 and 683.56

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Solution

The fourth proportional to 2,243.56, 3,365.34 and 683.56 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.56 : 3,365.34 = 683.56 : x
  2. Step 2: Convert to fraction form
    2,243.56/3,365.34 = 683.56/x
  3. Step 3: Cross multiply
    2,243.56x = 3,365.34 × 683.56
  4. Step 4: Simplify right side
    2,243.56x = 2,300,411.81
  5. Step 5: Solve for x
    x = 2,300,411.81/2,243.56
  6. Step 6: Final answer
    x = 1,025.34

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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.