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Finding the Fourth Proportional to 3,096.99, 4,261.17 and 2,676

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Solution

The fourth proportional to 3,096.99, 4,261.17 and 2,676 is: 3,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.99 : 4,261.17 = 2,676 : x
  2. Step 2: Convert to fraction form
    3,096.99/4,261.17 = 2,676/x
  3. Step 3: Cross multiply
    3,096.99x = 4,261.17 × 2,676
  4. Step 4: Simplify right side
    3,096.99x = 11,402,890.92
  5. Step 5: Solve for x
    x = 11,402,890.92/3,096.99
  6. Step 6: Final answer
    x = 3,681.93

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Why These Related Problems?

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