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Finding the Fourth Proportional to 2,151.42, 3,228.06 and 852.54

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Solution

The fourth proportional to 2,151.42, 3,228.06 and 852.54 is: 1,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.42 : 3,228.06 = 852.54 : x
  2. Step 2: Convert to fraction form
    2,151.42/3,228.06 = 852.54/x
  3. Step 3: Cross multiply
    2,151.42x = 3,228.06 × 852.54
  4. Step 4: Simplify right side
    2,151.42x = 2,752,050.27
  5. Step 5: Solve for x
    x = 2,752,050.27/2,151.42
  6. Step 6: Final answer
    x = 1,279.18

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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.