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Finding the Fourth Proportional to 2,191.55, 3,284.25 and 956.39

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Solution

The fourth proportional to 2,191.55, 3,284.25 and 956.39 is: 1,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.55 : 3,284.25 = 956.39 : x
  2. Step 2: Convert to fraction form
    2,191.55/3,284.25 = 956.39/x
  3. Step 3: Cross multiply
    2,191.55x = 3,284.25 × 956.39
  4. Step 4: Simplify right side
    2,191.55x = 3,141,032.07
  5. Step 5: Solve for x
    x = 3,141,032.07/2,191.55
  6. Step 6: Final answer
    x = 1,433.25

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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.