Home / 2,131.29-3,197.22-946.65

Finding the Fourth Proportional to 2,131.29, 3,197.22 and 946.65

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Solution

The fourth proportional to 2,131.29, 3,197.22 and 946.65 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.29 : 3,197.22 = 946.65 : x
  2. Step 2: Convert to fraction form
    2,131.29/3,197.22 = 946.65/x
  3. Step 3: Cross multiply
    2,131.29x = 3,197.22 × 946.65
  4. Step 4: Simplify right side
    2,131.29x = 3,026,648.31
  5. Step 5: Solve for x
    x = 3,026,648.31/2,131.29
  6. Step 6: Final answer
    x = 1,420.10

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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.