Home / 1,646.26-2,271.44-982.97

Finding the Fourth Proportional to 1,646.26, 2,271.44 and 982.97

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Solution

The fourth proportional to 1,646.26, 2,271.44 and 982.97 is: 1,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.26 : 2,271.44 = 982.97 : x
  2. Step 2: Convert to fraction form
    1,646.26/2,271.44 = 982.97/x
  3. Step 3: Cross multiply
    1,646.26x = 2,271.44 × 982.97
  4. Step 4: Simplify right side
    1,646.26x = 2,232,756.99
  5. Step 5: Solve for x
    x = 2,232,756.99/1,646.26
  6. Step 6: Final answer
    x = 1,356.26

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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.