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Finding the Fourth Proportional to 1,804.16, 2,489.80 and 996.58

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Solution

The fourth proportional to 1,804.16, 2,489.80 and 996.58 is: 1,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.16 : 2,489.80 = 996.58 : x
  2. Step 2: Convert to fraction form
    1,804.16/2,489.80 = 996.58/x
  3. Step 3: Cross multiply
    1,804.16x = 2,489.80 × 996.58
  4. Step 4: Simplify right side
    1,804.16x = 2,481,284.88
  5. Step 5: Solve for x
    x = 2,481,284.88/1,804.16
  6. Step 6: Final answer
    x = 1,375.31

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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.