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Finding the Fourth Proportional to 2,015.77, 2,999.27 and 1,965.55

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Solution

The fourth proportional to 2,015.77, 2,999.27 and 1,965.55 is: 2,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.77 : 2,999.27 = 1,965.55 : x
  2. Step 2: Convert to fraction form
    2,015.77/2,999.27 = 1,965.55/x
  3. Step 3: Cross multiply
    2,015.77x = 2,999.27 × 1,965.55
  4. Step 4: Simplify right side
    2,015.77x = 5,895,215.15
  5. Step 5: Solve for x
    x = 5,895,215.15/2,015.77
  6. Step 6: Final answer
    x = 2,924.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.