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Finding the Fourth Proportional to 1,782.62, 2,674.31 and 905.24

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Solution

The fourth proportional to 1,782.62, 2,674.31 and 905.24 is: 1,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.62 : 2,674.31 = 905.24 : x
  2. Step 2: Convert to fraction form
    1,782.62/2,674.31 = 905.24/x
  3. Step 3: Cross multiply
    1,782.62x = 2,674.31 × 905.24
  4. Step 4: Simplify right side
    1,782.62x = 2,420,884.59
  5. Step 5: Solve for x
    x = 2,420,884.59/1,782.62
  6. Step 6: Final answer
    x = 1,358.05

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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.