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Finding the Fourth Proportional to 2,774.62, 3,832.12 and 1,888.88

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Solution

The fourth proportional to 2,774.62, 3,832.12 and 1,888.88 is: 2,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.62 : 3,832.12 = 1,888.88 : x
  2. Step 2: Convert to fraction form
    2,774.62/3,832.12 = 1,888.88/x
  3. Step 3: Cross multiply
    2,774.62x = 3,832.12 × 1,888.88
  4. Step 4: Simplify right side
    2,774.62x = 7,238,414.83
  5. Step 5: Solve for x
    x = 7,238,414.83/2,774.62
  6. Step 6: Final answer
    x = 2,608.80

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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.