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Finding the Fourth Proportional to 3,268.98, 4,897.80 and 1,967.58

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Solution

The fourth proportional to 3,268.98, 4,897.80 and 1,967.58 is: 2,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.98 : 4,897.80 = 1,967.58 : x
  2. Step 2: Convert to fraction form
    3,268.98/4,897.80 = 1,967.58/x
  3. Step 3: Cross multiply
    3,268.98x = 4,897.80 × 1,967.58
  4. Step 4: Simplify right side
    3,268.98x = 9,636,813.32
  5. Step 5: Solve for x
    x = 9,636,813.32/3,268.98
  6. Step 6: Final answer
    x = 2,947.96

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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.