Home / 2,434.20-3,653.19-974.31

Finding the Fourth Proportional to 2,434.20, 3,653.19 and 974.31

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Solution

The fourth proportional to 2,434.20, 3,653.19 and 974.31 is: 1,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.20 : 3,653.19 = 974.31 : x
  2. Step 2: Convert to fraction form
    2,434.20/3,653.19 = 974.31/x
  3. Step 3: Cross multiply
    2,434.20x = 3,653.19 × 974.31
  4. Step 4: Simplify right side
    2,434.20x = 3,559,339.55
  5. Step 5: Solve for x
    x = 3,559,339.55/2,434.20
  6. Step 6: Final answer
    x = 1,462.22

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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.