Home / 2,287.44-3,431.68-971.21

Finding the Fourth Proportional to 2,287.44, 3,431.68 and 971.21

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Solution

The fourth proportional to 2,287.44, 3,431.68 and 971.21 is: 1,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.44 : 3,431.68 = 971.21 : x
  2. Step 2: Convert to fraction form
    2,287.44/3,431.68 = 971.21/x
  3. Step 3: Cross multiply
    2,287.44x = 3,431.68 × 971.21
  4. Step 4: Simplify right side
    2,287.44x = 3,332,888.08
  5. Step 5: Solve for x
    x = 3,332,888.08/2,287.44
  6. Step 6: Final answer
    x = 1,457.04

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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.