Home / 1,431.17-2,145.42-506.21

Finding the Fourth Proportional to 1,431.17, 2,145.42 and 506.21

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Solution

The fourth proportional to 1,431.17, 2,145.42 and 506.21 is: 758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.17 : 2,145.42 = 506.21 : x
  2. Step 2: Convert to fraction form
    1,431.17/2,145.42 = 506.21/x
  3. Step 3: Cross multiply
    1,431.17x = 2,145.42 × 506.21
  4. Step 4: Simplify right side
    1,431.17x = 1,086,033.06
  5. Step 5: Solve for x
    x = 1,086,033.06/1,431.17
  6. Step 6: Final answer
    x = 758.84

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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.