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Finding the Fourth Proportional to 1,246.65, 1,872.09 and 1,196.99

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Solution

The fourth proportional to 1,246.65, 1,872.09 and 1,196.99 is: 1,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.65 : 1,872.09 = 1,196.99 : x
  2. Step 2: Convert to fraction form
    1,246.65/1,872.09 = 1,196.99/x
  3. Step 3: Cross multiply
    1,246.65x = 1,872.09 × 1,196.99
  4. Step 4: Simplify right side
    1,246.65x = 2,240,873.01
  5. Step 5: Solve for x
    x = 2,240,873.01/1,246.65
  6. Step 6: Final answer
    x = 1,797.52

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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.