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Finding the Fourth Proportional to 2,451.99, 3,383.81 and 1,457.80

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Solution

The fourth proportional to 2,451.99, 3,383.81 and 1,457.80 is: 2,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.99 : 3,383.81 = 1,457.80 : x
  2. Step 2: Convert to fraction form
    2,451.99/3,383.81 = 1,457.80/x
  3. Step 3: Cross multiply
    2,451.99x = 3,383.81 × 1,457.80
  4. Step 4: Simplify right side
    2,451.99x = 4,932,918.22
  5. Step 5: Solve for x
    x = 4,932,918.22/2,451.99
  6. Step 6: Final answer
    x = 2,011.80

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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.