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Finding the Fourth Proportional to 2,106.28, 2,906.62 and 1,174.76

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Solution

The fourth proportional to 2,106.28, 2,906.62 and 1,174.76 is: 1,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.28 : 2,906.62 = 1,174.76 : x
  2. Step 2: Convert to fraction form
    2,106.28/2,906.62 = 1,174.76/x
  3. Step 3: Cross multiply
    2,106.28x = 2,906.62 × 1,174.76
  4. Step 4: Simplify right side
    2,106.28x = 3,414,580.91
  5. Step 5: Solve for x
    x = 3,414,580.91/2,106.28
  6. Step 6: Final answer
    x = 1,621.14

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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.