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Finding the Fourth Proportional to 2,805.90, 3,872.12 and 1,627.65

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Solution

The fourth proportional to 2,805.90, 3,872.12 and 1,627.65 is: 2,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.90 : 3,872.12 = 1,627.65 : x
  2. Step 2: Convert to fraction form
    2,805.90/3,872.12 = 1,627.65/x
  3. Step 3: Cross multiply
    2,805.90x = 3,872.12 × 1,627.65
  4. Step 4: Simplify right side
    2,805.90x = 6,302,460.19
  5. Step 5: Solve for x
    x = 6,302,460.19/2,805.90
  6. Step 6: Final answer
    x = 2,246.15

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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.