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Finding the Fourth Proportional to 2,151.03, 3,226.85 and 852.20

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Solution

The fourth proportional to 2,151.03, 3,226.85 and 852.20 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.03 : 3,226.85 = 852.20 : x
  2. Step 2: Convert to fraction form
    2,151.03/3,226.85 = 852.20/x
  3. Step 3: Cross multiply
    2,151.03x = 3,226.85 × 852.20
  4. Step 4: Simplify right side
    2,151.03x = 2,749,901.17
  5. Step 5: Solve for x
    x = 2,749,901.17/2,151.03
  6. Step 6: Final answer
    x = 1,278.41

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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.