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Finding the Fourth Proportional to 1,782.73, 2,674.37 and 1,052.83

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Solution

The fourth proportional to 1,782.73, 2,674.37 and 1,052.83 is: 1,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.73 : 2,674.37 = 1,052.83 : x
  2. Step 2: Convert to fraction form
    1,782.73/2,674.37 = 1,052.83/x
  3. Step 3: Cross multiply
    1,782.73x = 2,674.37 × 1,052.83
  4. Step 4: Simplify right side
    1,782.73x = 2,815,656.97
  5. Step 5: Solve for x
    x = 2,815,656.97/1,782.73
  6. Step 6: Final answer
    x = 1,579.41

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Double scale
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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.