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Finding the Fourth Proportional to 2,820.88, 4,231.53 and 873.07

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Solution

The fourth proportional to 2,820.88, 4,231.53 and 873.07 is: 1,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.88 : 4,231.53 = 873.07 : x
  2. Step 2: Convert to fraction form
    2,820.88/4,231.53 = 873.07/x
  3. Step 3: Cross multiply
    2,820.88x = 4,231.53 × 873.07
  4. Step 4: Simplify right side
    2,820.88x = 3,694,421.90
  5. Step 5: Solve for x
    x = 3,694,421.90/2,820.88
  6. Step 6: Final answer
    x = 1,309.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.