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Finding the Fourth Proportional to 3,277.70, 4,909.35 and 1,976.90

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Solution

The fourth proportional to 3,277.70, 4,909.35 and 1,976.90 is: 2,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.70 : 4,909.35 = 1,976.90 : x
  2. Step 2: Convert to fraction form
    3,277.70/4,909.35 = 1,976.90/x
  3. Step 3: Cross multiply
    3,277.70x = 4,909.35 × 1,976.90
  4. Step 4: Simplify right side
    3,277.70x = 9,705,294.02
  5. Step 5: Solve for x
    x = 9,705,294.02/3,277.70
  6. Step 6: Final answer
    x = 2,961.01

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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.