Home / 1,516.24-2,270.13-820.42

Finding the Fourth Proportional to 1,516.24, 2,270.13 and 820.42

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Solution

The fourth proportional to 1,516.24, 2,270.13 and 820.42 is: 1,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.24 : 2,270.13 = 820.42 : x
  2. Step 2: Convert to fraction form
    1,516.24/2,270.13 = 820.42/x
  3. Step 3: Cross multiply
    1,516.24x = 2,270.13 × 820.42
  4. Step 4: Simplify right side
    1,516.24x = 1,862,460.05
  5. Step 5: Solve for x
    x = 1,862,460.05/1,516.24
  6. Step 6: Final answer
    x = 1,228.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.