Home / 1,884.13-2,826.20-516.13

Finding the Fourth Proportional to 1,884.13, 2,826.20 and 516.13

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Solution

The fourth proportional to 1,884.13, 2,826.20 and 516.13 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.13 : 2,826.20 = 516.13 : x
  2. Step 2: Convert to fraction form
    1,884.13/2,826.20 = 516.13/x
  3. Step 3: Cross multiply
    1,884.13x = 2,826.20 × 516.13
  4. Step 4: Simplify right side
    1,884.13x = 1,458,686.61
  5. Step 5: Solve for x
    x = 1,458,686.61/1,884.13
  6. Step 6: Final answer
    x = 774.20

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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.