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Finding the Fourth Proportional to 1,782.76, 2,460.26 and 996.81

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Solution

The fourth proportional to 1,782.76, 2,460.26 and 996.81 is: 1,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.76 : 2,460.26 = 996.81 : x
  2. Step 2: Convert to fraction form
    1,782.76/2,460.26 = 996.81/x
  3. Step 3: Cross multiply
    1,782.76x = 2,460.26 × 996.81
  4. Step 4: Simplify right side
    1,782.76x = 2,452,399.43
  5. Step 5: Solve for x
    x = 2,452,399.43/1,782.76
  6. Step 6: Final answer
    x = 1,375.62

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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.