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Finding the Fourth Proportional to 2,324.33, 3,486.46 and 863.45

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Solution

The fourth proportional to 2,324.33, 3,486.46 and 863.45 is: 1,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.33 : 3,486.46 = 863.45 : x
  2. Step 2: Convert to fraction form
    2,324.33/3,486.46 = 863.45/x
  3. Step 3: Cross multiply
    2,324.33x = 3,486.46 × 863.45
  4. Step 4: Simplify right side
    2,324.33x = 3,010,383.89
  5. Step 5: Solve for x
    x = 3,010,383.89/2,324.33
  6. Step 6: Final answer
    x = 1,295.16

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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.