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Finding the Fourth Proportional to 3,096.70, 4,274.58 and 2,102.02

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Solution

The fourth proportional to 3,096.70, 4,274.58 and 2,102.02 is: 2,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.70 : 4,274.58 = 2,102.02 : x
  2. Step 2: Convert to fraction form
    3,096.70/4,274.58 = 2,102.02/x
  3. Step 3: Cross multiply
    3,096.70x = 4,274.58 × 2,102.02
  4. Step 4: Simplify right side
    3,096.70x = 8,985,252.65
  5. Step 5: Solve for x
    x = 8,985,252.65/3,096.70
  6. Step 6: Final answer
    x = 2,901.56

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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.