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Finding the Fourth Proportional to 2,006.16, 3,010.84 and 852.24

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Solution

The fourth proportional to 2,006.16, 3,010.84 and 852.24 is: 1,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.16 : 3,010.84 = 852.24 : x
  2. Step 2: Convert to fraction form
    2,006.16/3,010.84 = 852.24/x
  3. Step 3: Cross multiply
    2,006.16x = 3,010.84 × 852.24
  4. Step 4: Simplify right side
    2,006.16x = 2,565,958.28
  5. Step 5: Solve for x
    x = 2,565,958.28/2,006.16
  6. Step 6: Final answer
    x = 1,279.04

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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.