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Finding the Fourth Proportional to 3,096.90, 4,274.10 and 1,917.81

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Solution

The fourth proportional to 3,096.90, 4,274.10 and 1,917.81 is: 2,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.90 : 4,274.10 = 1,917.81 : x
  2. Step 2: Convert to fraction form
    3,096.90/4,274.10 = 1,917.81/x
  3. Step 3: Cross multiply
    3,096.90x = 4,274.10 × 1,917.81
  4. Step 4: Simplify right side
    3,096.90x = 8,196,911.72
  5. Step 5: Solve for x
    x = 8,196,911.72/3,096.90
  6. Step 6: Final answer
    x = 2,646.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.