Home / 1,466.39-2,199.92-541.96

Finding the Fourth Proportional to 1,466.39, 2,199.92 and 541.96

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Solution

The fourth proportional to 1,466.39, 2,199.92 and 541.96 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.39 : 2,199.92 = 541.96 : x
  2. Step 2: Convert to fraction form
    1,466.39/2,199.92 = 541.96/x
  3. Step 3: Cross multiply
    1,466.39x = 2,199.92 × 541.96
  4. Step 4: Simplify right side
    1,466.39x = 1,192,260.43
  5. Step 5: Solve for x
    x = 1,192,260.43/1,466.39
  6. Step 6: Final answer
    x = 813.06

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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.