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Finding the Fourth Proportional to 1,782.20, 2,459.36 and 996.20

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Solution

The fourth proportional to 1,782.20, 2,459.36 and 996.20 is: 1,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.20 : 2,459.36 = 996.20 : x
  2. Step 2: Convert to fraction form
    1,782.20/2,459.36 = 996.20/x
  3. Step 3: Cross multiply
    1,782.20x = 2,459.36 × 996.20
  4. Step 4: Simplify right side
    1,782.20x = 2,450,014.43
  5. Step 5: Solve for x
    x = 2,450,014.43/1,782.20
  6. Step 6: Final answer
    x = 1,374.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.