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Finding the Fourth Proportional to 2,800.21, 3,863.63 and 2,353.77

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Solution

The fourth proportional to 2,800.21, 3,863.63 and 2,353.77 is: 3,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.21 : 3,863.63 = 2,353.77 : x
  2. Step 2: Convert to fraction form
    2,800.21/3,863.63 = 2,353.77/x
  3. Step 3: Cross multiply
    2,800.21x = 3,863.63 × 2,353.77
  4. Step 4: Simplify right side
    2,800.21x = 9,094,096.39
  5. Step 5: Solve for x
    x = 9,094,096.39/2,800.21
  6. Step 6: Final answer
    x = 3,247.65

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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.