Home / 2,516.24-3,773.88-977.04

Finding the Fourth Proportional to 2,516.24, 3,773.88 and 977.04

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Solution

The fourth proportional to 2,516.24, 3,773.88 and 977.04 is: 1,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.24 : 3,773.88 = 977.04 : x
  2. Step 2: Convert to fraction form
    2,516.24/3,773.88 = 977.04/x
  3. Step 3: Cross multiply
    2,516.24x = 3,773.88 × 977.04
  4. Step 4: Simplify right side
    2,516.24x = 3,687,231.72
  5. Step 5: Solve for x
    x = 3,687,231.72/2,516.24
  6. Step 6: Final answer
    x = 1,465.37

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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.