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Finding the Fourth Proportional to 1,515.81, 2,091.67 and 852.78

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Solution

The fourth proportional to 1,515.81, 2,091.67 and 852.78 is: 1,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.81 : 2,091.67 = 852.78 : x
  2. Step 2: Convert to fraction form
    1,515.81/2,091.67 = 852.78/x
  3. Step 3: Cross multiply
    1,515.81x = 2,091.67 × 852.78
  4. Step 4: Simplify right side
    1,515.81x = 1,783,733.09
  5. Step 5: Solve for x
    x = 1,783,733.09/1,515.81
  6. Step 6: Final answer
    x = 1,176.75

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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.