Home / 1,629.26-2,443.16-971.44

Finding the Fourth Proportional to 1,629.26, 2,443.16 and 971.44

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Solution

The fourth proportional to 1,629.26, 2,443.16 and 971.44 is: 1,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.26 : 2,443.16 = 971.44 : x
  2. Step 2: Convert to fraction form
    1,629.26/2,443.16 = 971.44/x
  3. Step 3: Cross multiply
    1,629.26x = 2,443.16 × 971.44
  4. Step 4: Simplify right side
    1,629.26x = 2,373,378.49
  5. Step 5: Solve for x
    x = 2,373,378.49/1,629.26
  6. Step 6: Final answer
    x = 1,456.72

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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.