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Finding the Fourth Proportional to 3,096.36, 4,274.10 and 2,048.76

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Solution

The fourth proportional to 3,096.36, 4,274.10 and 2,048.76 is: 2,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.36 : 4,274.10 = 2,048.76 : x
  2. Step 2: Convert to fraction form
    3,096.36/4,274.10 = 2,048.76/x
  3. Step 3: Cross multiply
    3,096.36x = 4,274.10 × 2,048.76
  4. Step 4: Simplify right side
    3,096.36x = 8,756,605.12
  5. Step 5: Solve for x
    x = 8,756,605.12/3,096.36
  6. Step 6: Final answer
    x = 2,828.03

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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.