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Finding the Fourth Proportional to 2,087.36, 2,879.11 and 1,423.09

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Solution

The fourth proportional to 2,087.36, 2,879.11 and 1,423.09 is: 1,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.36 : 2,879.11 = 1,423.09 : x
  2. Step 2: Convert to fraction form
    2,087.36/2,879.11 = 1,423.09/x
  3. Step 3: Cross multiply
    2,087.36x = 2,879.11 × 1,423.09
  4. Step 4: Simplify right side
    2,087.36x = 4,097,232.65
  5. Step 5: Solve for x
    x = 4,097,232.65/2,087.36
  6. Step 6: Final answer
    x = 1,962.88

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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.