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Finding the Fourth Proportional to 1,515.89, 2,091.80 and 852.65

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Solution

The fourth proportional to 1,515.89, 2,091.80 and 852.65 is: 1,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.89 : 2,091.80 = 852.65 : x
  2. Step 2: Convert to fraction form
    1,515.89/2,091.80 = 852.65/x
  3. Step 3: Cross multiply
    1,515.89x = 2,091.80 × 852.65
  4. Step 4: Simplify right side
    1,515.89x = 1,783,576.27
  5. Step 5: Solve for x
    x = 1,783,576.27/1,515.89
  6. Step 6: Final answer
    x = 1,176.59

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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.