Home / 1,804.82-2,705.40-982.26

Finding the Fourth Proportional to 1,804.82, 2,705.40 and 982.26

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Solution

The fourth proportional to 1,804.82, 2,705.40 and 982.26 is: 1,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.82 : 2,705.40 = 982.26 : x
  2. Step 2: Convert to fraction form
    1,804.82/2,705.40 = 982.26/x
  3. Step 3: Cross multiply
    1,804.82x = 2,705.40 × 982.26
  4. Step 4: Simplify right side
    1,804.82x = 2,657,406.20
  5. Step 5: Solve for x
    x = 2,657,406.20/1,804.82
  6. Step 6: Final answer
    x = 1,472.40

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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.