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Finding the Fourth Proportional to 2,884.78, 3,981.02 and 1,625.84

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Solution

The fourth proportional to 2,884.78, 3,981.02 and 1,625.84 is: 2,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.78 : 3,981.02 = 1,625.84 : x
  2. Step 2: Convert to fraction form
    2,884.78/3,981.02 = 1,625.84/x
  3. Step 3: Cross multiply
    2,884.78x = 3,981.02 × 1,625.84
  4. Step 4: Simplify right side
    2,884.78x = 6,472,501.56
  5. Step 5: Solve for x
    x = 6,472,501.56/2,884.78
  6. Step 6: Final answer
    x = 2,243.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.