Home / 2,292.27-3,435.21-974.43

Finding the Fourth Proportional to 2,292.27, 3,435.21 and 974.43

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Solution

The fourth proportional to 2,292.27, 3,435.21 and 974.43 is: 1,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.27 : 3,435.21 = 974.43 : x
  2. Step 2: Convert to fraction form
    2,292.27/3,435.21 = 974.43/x
  3. Step 3: Cross multiply
    2,292.27x = 3,435.21 × 974.43
  4. Step 4: Simplify right side
    2,292.27x = 3,347,371.68
  5. Step 5: Solve for x
    x = 3,347,371.68/2,292.27
  6. Step 6: Final answer
    x = 1,460.28

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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.