Home / 1,826.82-2,519.64-1,433.16

Finding the Fourth Proportional to 1,826.82, 2,519.64 and 1,433.16

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Solution

The fourth proportional to 1,826.82, 2,519.64 and 1,433.16 is: 1,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.82 : 2,519.64 = 1,433.16 : x
  2. Step 2: Convert to fraction form
    1,826.82/2,519.64 = 1,433.16/x
  3. Step 3: Cross multiply
    1,826.82x = 2,519.64 × 1,433.16
  4. Step 4: Simplify right side
    1,826.82x = 3,611,047.26
  5. Step 5: Solve for x
    x = 3,611,047.26/1,826.82
  6. Step 6: Final answer
    x = 1,976.68

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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.