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Finding the Fourth Proportional to 2,664.33, 3,996.03 and 716.08

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Solution

The fourth proportional to 2,664.33, 3,996.03 and 716.08 is: 1,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.33 : 3,996.03 = 716.08 : x
  2. Step 2: Convert to fraction form
    2,664.33/3,996.03 = 716.08/x
  3. Step 3: Cross multiply
    2,664.33x = 3,996.03 × 716.08
  4. Step 4: Simplify right side
    2,664.33x = 2,861,477.16
  5. Step 5: Solve for x
    x = 2,861,477.16/2,664.33
  6. Step 6: Final answer
    x = 1,074.00

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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.