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Finding the Fourth Proportional to 2,131.29, 3,196.95 and 814.74

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Solution

The fourth proportional to 2,131.29, 3,196.95 and 814.74 is: 1,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.29 : 3,196.95 = 814.74 : x
  2. Step 2: Convert to fraction form
    2,131.29/3,196.95 = 814.74/x
  3. Step 3: Cross multiply
    2,131.29x = 3,196.95 × 814.74
  4. Step 4: Simplify right side
    2,131.29x = 2,604,683.04
  5. Step 5: Solve for x
    x = 2,604,683.04/2,131.29
  6. Step 6: Final answer
    x = 1,222.12

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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.