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Finding the Fourth Proportional to 1,520.82, 2,096.49 and 1,310.07

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Solution

The fourth proportional to 1,520.82, 2,096.49 and 1,310.07 is: 1,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.82 : 2,096.49 = 1,310.07 : x
  2. Step 2: Convert to fraction form
    1,520.82/2,096.49 = 1,310.07/x
  3. Step 3: Cross multiply
    1,520.82x = 2,096.49 × 1,310.07
  4. Step 4: Simplify right side
    1,520.82x = 2,746,548.65
  5. Step 5: Solve for x
    x = 2,746,548.65/1,520.82
  6. Step 6: Final answer
    x = 1,805.97

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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.