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Finding the Fourth Proportional to 2,191.78, 3,284.84 and 891.74

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Solution

The fourth proportional to 2,191.78, 3,284.84 and 891.74 is: 1,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.78 : 3,284.84 = 891.74 : x
  2. Step 2: Convert to fraction form
    2,191.78/3,284.84 = 891.74/x
  3. Step 3: Cross multiply
    2,191.78x = 3,284.84 × 891.74
  4. Step 4: Simplify right side
    2,191.78x = 2,929,223.22
  5. Step 5: Solve for x
    x = 2,929,223.22/2,191.78
  6. Step 6: Final answer
    x = 1,336.46

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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.