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Finding the Fourth Proportional to 1,340.26, 2,010.42 and 475.18

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Solution

The fourth proportional to 1,340.26, 2,010.42 and 475.18 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.26 : 2,010.42 = 475.18 : x
  2. Step 2: Convert to fraction form
    1,340.26/2,010.42 = 475.18/x
  3. Step 3: Cross multiply
    1,340.26x = 2,010.42 × 475.18
  4. Step 4: Simplify right side
    1,340.26x = 955,311.38
  5. Step 5: Solve for x
    x = 955,311.38/1,340.26
  6. Step 6: Final answer
    x = 712.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.