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Finding the Fourth Proportional to 1,782.94, 2,673.80 and 845.78

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Solution

The fourth proportional to 1,782.94, 2,673.80 and 845.78 is: 1,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.94 : 2,673.80 = 845.78 : x
  2. Step 2: Convert to fraction form
    1,782.94/2,673.80 = 845.78/x
  3. Step 3: Cross multiply
    1,782.94x = 2,673.80 × 845.78
  4. Step 4: Simplify right side
    1,782.94x = 2,261,446.56
  5. Step 5: Solve for x
    x = 2,261,446.56/1,782.94
  6. Step 6: Final answer
    x = 1,268.38

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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.