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Finding the Fourth Proportional to 2,583.22, 3,875.14 and 827.76

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Solution

The fourth proportional to 2,583.22, 3,875.14 and 827.76 is: 1,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.22 : 3,875.14 = 827.76 : x
  2. Step 2: Convert to fraction form
    2,583.22/3,875.14 = 827.76/x
  3. Step 3: Cross multiply
    2,583.22x = 3,875.14 × 827.76
  4. Step 4: Simplify right side
    2,583.22x = 3,207,685.89
  5. Step 5: Solve for x
    x = 3,207,685.89/2,583.22
  6. Step 6: Final answer
    x = 1,241.74

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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.