Home / 2,106.20-3,158.12-872.96

Finding the Fourth Proportional to 2,106.20, 3,158.12 and 872.96

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Solution

The fourth proportional to 2,106.20, 3,158.12 and 872.96 is: 1,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.20 : 3,158.12 = 872.96 : x
  2. Step 2: Convert to fraction form
    2,106.20/3,158.12 = 872.96/x
  3. Step 3: Cross multiply
    2,106.20x = 3,158.12 × 872.96
  4. Step 4: Simplify right side
    2,106.20x = 2,756,898.83
  5. Step 5: Solve for x
    x = 2,756,898.83/2,106.20
  6. Step 6: Final answer
    x = 1,308.94

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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.