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Finding the Fourth Proportional to 2,805.94, 3,872.42 and 1,627.01

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Solution

The fourth proportional to 2,805.94, 3,872.42 and 1,627.01 is: 2,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.94 : 3,872.42 = 1,627.01 : x
  2. Step 2: Convert to fraction form
    2,805.94/3,872.42 = 1,627.01/x
  3. Step 3: Cross multiply
    2,805.94x = 3,872.42 × 1,627.01
  4. Step 4: Simplify right side
    2,805.94x = 6,300,466.06
  5. Step 5: Solve for x
    x = 6,300,466.06/2,805.94
  6. Step 6: Final answer
    x = 2,245.40

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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.