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Finding the Fourth Proportional to 2,106.70, 3,162.90 and 1,230.10

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Solution

The fourth proportional to 2,106.70, 3,162.90 and 1,230.10 is: 1,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.70 : 3,162.90 = 1,230.10 : x
  2. Step 2: Convert to fraction form
    2,106.70/3,162.90 = 1,230.10/x
  3. Step 3: Cross multiply
    2,106.70x = 3,162.90 × 1,230.10
  4. Step 4: Simplify right side
    2,106.70x = 3,890,683.29
  5. Step 5: Solve for x
    x = 3,890,683.29/2,106.70
  6. Step 6: Final answer
    x = 1,846.81

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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.