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Finding the Fourth Proportional to 2,106.92, 3,160.66 and 719.87

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Solution

The fourth proportional to 2,106.92, 3,160.66 and 719.87 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.92 : 3,160.66 = 719.87 : x
  2. Step 2: Convert to fraction form
    2,106.92/3,160.66 = 719.87/x
  3. Step 3: Cross multiply
    2,106.92x = 3,160.66 × 719.87
  4. Step 4: Simplify right side
    2,106.92x = 2,275,270.42
  5. Step 5: Solve for x
    x = 2,275,270.42/2,106.92
  6. Step 6: Final answer
    x = 1,079.91

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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.