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Finding the Fourth Proportional to 3,312.78, 4,571.74 and 1,820.81

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Solution

The fourth proportional to 3,312.78, 4,571.74 and 1,820.81 is: 2,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.78 : 4,571.74 = 1,820.81 : x
  2. Step 2: Convert to fraction form
    3,312.78/4,571.74 = 1,820.81/x
  3. Step 3: Cross multiply
    3,312.78x = 4,571.74 × 1,820.81
  4. Step 4: Simplify right side
    3,312.78x = 8,324,247.05
  5. Step 5: Solve for x
    x = 8,324,247.05/3,312.78
  6. Step 6: Final answer
    x = 2,512.77

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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.