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Finding the Fourth Proportional to 2,096.09, 3,142.63 and 984.88

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Solution

The fourth proportional to 2,096.09, 3,142.63 and 984.88 is: 1,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.09 : 3,142.63 = 984.88 : x
  2. Step 2: Convert to fraction form
    2,096.09/3,142.63 = 984.88/x
  3. Step 3: Cross multiply
    2,096.09x = 3,142.63 × 984.88
  4. Step 4: Simplify right side
    2,096.09x = 3,095,108.51
  5. Step 5: Solve for x
    x = 3,095,108.51/2,096.09
  6. Step 6: Final answer
    x = 1,476.61

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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.