Home / 1,431.30-2,146.53-506.70

Finding the Fourth Proportional to 1,431.30, 2,146.53 and 506.70

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Solution

The fourth proportional to 1,431.30, 2,146.53 and 506.70 is: 759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.30 : 2,146.53 = 506.70 : x
  2. Step 2: Convert to fraction form
    1,431.30/2,146.53 = 506.70/x
  3. Step 3: Cross multiply
    1,431.30x = 2,146.53 × 506.70
  4. Step 4: Simplify right side
    1,431.30x = 1,087,646.75
  5. Step 5: Solve for x
    x = 1,087,646.75/1,431.30
  6. Step 6: Final answer
    x = 759.90

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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.