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Finding the Fourth Proportional to 2,448.09, 3,662.99 and 1,457.30

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Solution

The fourth proportional to 2,448.09, 3,662.99 and 1,457.30 is: 2,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.09 : 3,662.99 = 1,457.30 : x
  2. Step 2: Convert to fraction form
    2,448.09/3,662.99 = 1,457.30/x
  3. Step 3: Cross multiply
    2,448.09x = 3,662.99 × 1,457.30
  4. Step 4: Simplify right side
    2,448.09x = 5,338,049.73
  5. Step 5: Solve for x
    x = 5,338,049.73/2,448.09
  6. Step 6: Final answer
    x = 2,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.