Home / 1,969.82-2,954.48-1,237.16

Finding the Fourth Proportional to 1,969.82, 2,954.48 and 1,237.16

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Solution

The fourth proportional to 1,969.82, 2,954.48 and 1,237.16 is: 1,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.82 : 2,954.48 = 1,237.16 : x
  2. Step 2: Convert to fraction form
    1,969.82/2,954.48 = 1,237.16/x
  3. Step 3: Cross multiply
    1,969.82x = 2,954.48 × 1,237.16
  4. Step 4: Simplify right side
    1,969.82x = 3,655,164.48
  5. Step 5: Solve for x
    x = 3,655,164.48/1,969.82
  6. Step 6: Final answer
    x = 1,855.58

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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.