Home / 1,646.25-2,270.64-982.59

Finding the Fourth Proportional to 1,646.25, 2,270.64 and 982.59

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Solution

The fourth proportional to 1,646.25, 2,270.64 and 982.59 is: 1,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.25 : 2,270.64 = 982.59 : x
  2. Step 2: Convert to fraction form
    1,646.25/2,270.64 = 982.59/x
  3. Step 3: Cross multiply
    1,646.25x = 2,270.64 × 982.59
  4. Step 4: Simplify right side
    1,646.25x = 2,231,108.16
  5. Step 5: Solve for x
    x = 2,231,108.16/1,646.25
  6. Step 6: Final answer
    x = 1,355.27

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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.