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Finding the Fourth Proportional to 3,454.68, 5,182.02 and 1,263.39

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Solution

The fourth proportional to 3,454.68, 5,182.02 and 1,263.39 is: 1,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.68 : 5,182.02 = 1,263.39 : x
  2. Step 2: Convert to fraction form
    3,454.68/5,182.02 = 1,263.39/x
  3. Step 3: Cross multiply
    3,454.68x = 5,182.02 × 1,263.39
  4. Step 4: Simplify right side
    3,454.68x = 6,546,912.25
  5. Step 5: Solve for x
    x = 6,546,912.25/3,454.68
  6. Step 6: Final answer
    x = 1,895.09

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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.