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Finding the Fourth Proportional to 2,106.27, 3,158.49 and 719.31

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Solution

The fourth proportional to 2,106.27, 3,158.49 and 719.31 is: 1,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.27 : 3,158.49 = 719.31 : x
  2. Step 2: Convert to fraction form
    2,106.27/3,158.49 = 719.31/x
  3. Step 3: Cross multiply
    2,106.27x = 3,158.49 × 719.31
  4. Step 4: Simplify right side
    2,106.27x = 2,271,933.44
  5. Step 5: Solve for x
    x = 2,271,933.44/2,106.27
  6. Step 6: Final answer
    x = 1,078.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.