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Finding the Fourth Proportional to 1,976.83, 2,965.76 and 744.25

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Solution

The fourth proportional to 1,976.83, 2,965.76 and 744.25 is: 1,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.83 : 2,965.76 = 744.25 : x
  2. Step 2: Convert to fraction form
    1,976.83/2,965.76 = 744.25/x
  3. Step 3: Cross multiply
    1,976.83x = 2,965.76 × 744.25
  4. Step 4: Simplify right side
    1,976.83x = 2,207,266.88
  5. Step 5: Solve for x
    x = 2,207,266.88/1,976.83
  6. Step 6: Final answer
    x = 1,116.57

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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.