Home / 1,431.12-2,146.86-506.82

Finding the Fourth Proportional to 1,431.12, 2,146.86 and 506.82

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Solution

The fourth proportional to 1,431.12, 2,146.86 and 506.82 is: 760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.12 : 2,146.86 = 506.82 : x
  2. Step 2: Convert to fraction form
    1,431.12/2,146.86 = 506.82/x
  3. Step 3: Cross multiply
    1,431.12x = 2,146.86 × 506.82
  4. Step 4: Simplify right side
    1,431.12x = 1,088,071.59
  5. Step 5: Solve for x
    x = 1,088,071.59/1,431.12
  6. Step 6: Final answer
    x = 760.29

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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.