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Finding the Fourth Proportional to 1,782.87, 2,460.24 and 996.90

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Solution

The fourth proportional to 1,782.87, 2,460.24 and 996.90 is: 1,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.87 : 2,460.24 = 996.90 : x
  2. Step 2: Convert to fraction form
    1,782.87/2,460.24 = 996.90/x
  3. Step 3: Cross multiply
    1,782.87x = 2,460.24 × 996.90
  4. Step 4: Simplify right side
    1,782.87x = 2,452,613.26
  5. Step 5: Solve for x
    x = 2,452,613.26/1,782.87
  6. Step 6: Final answer
    x = 1,375.65

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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.