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Finding the Fourth Proportional to 2,623.16, 3,933.76 and 867.84

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Solution

The fourth proportional to 2,623.16, 3,933.76 and 867.84 is: 1,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.16 : 3,933.76 = 867.84 : x
  2. Step 2: Convert to fraction form
    2,623.16/3,933.76 = 867.84/x
  3. Step 3: Cross multiply
    2,623.16x = 3,933.76 × 867.84
  4. Step 4: Simplify right side
    2,623.16x = 3,413,874.28
  5. Step 5: Solve for x
    x = 3,413,874.28/2,623.16
  6. Step 6: Final answer
    x = 1,301.44

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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.