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Finding the Fourth Proportional to 2,324.33, 3,486.32 and 764.31

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Solution

The fourth proportional to 2,324.33, 3,486.32 and 764.31 is: 1,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.33 : 3,486.32 = 764.31 : x
  2. Step 2: Convert to fraction form
    2,324.33/3,486.32 = 764.31/x
  3. Step 3: Cross multiply
    2,324.33x = 3,486.32 × 764.31
  4. Step 4: Simplify right side
    2,324.33x = 2,664,629.24
  5. Step 5: Solve for x
    x = 2,664,629.24/2,324.33
  6. Step 6: Final answer
    x = 1,146.41

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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.