Home / 1,516.13-2,272.23-682.58

Finding the Fourth Proportional to 1,516.13, 2,272.23 and 682.58

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Solution

The fourth proportional to 1,516.13, 2,272.23 and 682.58 is: 1,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.13 : 2,272.23 = 682.58 : x
  2. Step 2: Convert to fraction form
    1,516.13/2,272.23 = 682.58/x
  3. Step 3: Cross multiply
    1,516.13x = 2,272.23 × 682.58
  4. Step 4: Simplify right side
    1,516.13x = 1,550,978.75
  5. Step 5: Solve for x
    x = 1,550,978.75/1,516.13
  6. Step 6: Final answer
    x = 1,022.99

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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.