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Finding the Fourth Proportional to 2,874.75, 3,967.16 and 1,632.75

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Solution

The fourth proportional to 2,874.75, 3,967.16 and 1,632.75 is: 2,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.75 : 3,967.16 = 1,632.75 : x
  2. Step 2: Convert to fraction form
    2,874.75/3,967.16 = 1,632.75/x
  3. Step 3: Cross multiply
    2,874.75x = 3,967.16 × 1,632.75
  4. Step 4: Simplify right side
    2,874.75x = 6,477,372.33
  5. Step 5: Solve for x
    x = 6,477,372.33/2,874.75
  6. Step 6: Final answer
    x = 2,253.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.