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Finding the Fourth Proportional to 1,782.78, 2,460.24 and 996.84

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Solution

The fourth proportional to 1,782.78, 2,460.24 and 996.84 is: 1,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.78 : 2,460.24 = 996.84 : x
  2. Step 2: Convert to fraction form
    1,782.78/2,460.24 = 996.84/x
  3. Step 3: Cross multiply
    1,782.78x = 2,460.24 × 996.84
  4. Step 4: Simplify right side
    1,782.78x = 2,452,465.64
  5. Step 5: Solve for x
    x = 2,452,465.64/1,782.78
  6. Step 6: Final answer
    x = 1,375.64

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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.