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Finding the Fourth Proportional to 2,664.49, 3,996.73 and 716.69

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Solution

The fourth proportional to 2,664.49, 3,996.73 and 716.69 is: 1,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.49 : 3,996.73 = 716.69 : x
  2. Step 2: Convert to fraction form
    2,664.49/3,996.73 = 716.69/x
  3. Step 3: Cross multiply
    2,664.49x = 3,996.73 × 716.69
  4. Step 4: Simplify right side
    2,664.49x = 2,864,424.62
  5. Step 5: Solve for x
    x = 2,864,424.62/2,664.49
  6. Step 6: Final answer
    x = 1,075.04

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1.5x scale

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.