Home / 1,604.23-2,406.44-1,516.96

Finding the Fourth Proportional to 1,604.23, 2,406.44 and 1,516.96

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Solution

The fourth proportional to 1,604.23, 2,406.44 and 1,516.96 is: 2,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.23 : 2,406.44 = 1,516.96 : x
  2. Step 2: Convert to fraction form
    1,604.23/2,406.44 = 1,516.96/x
  3. Step 3: Cross multiply
    1,604.23x = 2,406.44 × 1,516.96
  4. Step 4: Simplify right side
    1,604.23x = 3,650,474.33
  5. Step 5: Solve for x
    x = 3,650,474.33/1,604.23
  6. Step 6: Final answer
    x = 2,275.53

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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.