Home / 1,431.26-2,146.43-457.13

Finding the Fourth Proportional to 1,431.26, 2,146.43 and 457.13

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Solution

The fourth proportional to 1,431.26, 2,146.43 and 457.13 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.26 : 2,146.43 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,431.26/2,146.43 = 457.13/x
  3. Step 3: Cross multiply
    1,431.26x = 2,146.43 × 457.13
  4. Step 4: Simplify right side
    1,431.26x = 981,184.53
  5. Step 5: Solve for x
    x = 981,184.53/1,431.26
  6. Step 6: Final answer
    x = 685.54

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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.