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Finding the Fourth Proportional to 2,583.21, 3,875.08 and 827.78

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Solution

The fourth proportional to 2,583.21, 3,875.08 and 827.78 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.21 : 3,875.08 = 827.78 : x
  2. Step 2: Convert to fraction form
    2,583.21/3,875.08 = 827.78/x
  3. Step 3: Cross multiply
    2,583.21x = 3,875.08 × 827.78
  4. Step 4: Simplify right side
    2,583.21x = 3,207,713.72
  5. Step 5: Solve for x
    x = 3,207,713.72/2,583.21
  6. Step 6: Final answer
    x = 1,241.75

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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.