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Finding the Fourth Proportional to 3,312.83, 4,571.62 and 1,820.75

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Solution

The fourth proportional to 3,312.83, 4,571.62 and 1,820.75 is: 2,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.83 : 4,571.62 = 1,820.75 : x
  2. Step 2: Convert to fraction form
    3,312.83/4,571.62 = 1,820.75/x
  3. Step 3: Cross multiply
    3,312.83x = 4,571.62 × 1,820.75
  4. Step 4: Simplify right side
    3,312.83x = 8,323,775.42
  5. Step 5: Solve for x
    x = 8,323,775.42/3,312.83
  6. Step 6: Final answer
    x = 2,512.59

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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.