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Finding the Fourth Proportional to 2,015.82, 2,782.13 and 1,176.77

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Solution

The fourth proportional to 2,015.82, 2,782.13 and 1,176.77 is: 1,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.82 : 2,782.13 = 1,176.77 : x
  2. Step 2: Convert to fraction form
    2,015.82/2,782.13 = 1,176.77/x
  3. Step 3: Cross multiply
    2,015.82x = 2,782.13 × 1,176.77
  4. Step 4: Simplify right side
    2,015.82x = 3,273,928.19
  5. Step 5: Solve for x
    x = 3,273,928.19/2,015.82
  6. Step 6: Final answer
    x = 1,624.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.