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Finding the Fourth Proportional to 2,151.91, 3,225.03 and 852.67

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Solution

The fourth proportional to 2,151.91, 3,225.03 and 852.67 is: 1,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.91 : 3,225.03 = 852.67 : x
  2. Step 2: Convert to fraction form
    2,151.91/3,225.03 = 852.67/x
  3. Step 3: Cross multiply
    2,151.91x = 3,225.03 × 852.67
  4. Step 4: Simplify right side
    2,151.91x = 2,749,886.33
  5. Step 5: Solve for x
    x = 2,749,886.33/2,151.91
  6. Step 6: Final answer
    x = 1,277.88

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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.