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Finding the Fourth Proportional to 2,191.30, 3,284.67 and 958.38

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Solution

The fourth proportional to 2,191.30, 3,284.67 and 958.38 is: 1,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.30 : 3,284.67 = 958.38 : x
  2. Step 2: Convert to fraction form
    2,191.30/3,284.67 = 958.38/x
  3. Step 3: Cross multiply
    2,191.30x = 3,284.67 × 958.38
  4. Step 4: Simplify right side
    2,191.30x = 3,147,966.40
  5. Step 5: Solve for x
    x = 3,147,966.40/2,191.30
  6. Step 6: Final answer
    x = 1,436.57

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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.