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Finding the Fourth Proportional to 1,515.70, 2,270.31 and 936.82

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Solution

The fourth proportional to 1,515.70, 2,270.31 and 936.82 is: 1,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.70 : 2,270.31 = 936.82 : x
  2. Step 2: Convert to fraction form
    1,515.70/2,270.31 = 936.82/x
  3. Step 3: Cross multiply
    1,515.70x = 2,270.31 × 936.82
  4. Step 4: Simplify right side
    1,515.70x = 2,126,871.81
  5. Step 5: Solve for x
    x = 2,126,871.81/1,515.70
  6. Step 6: Final answer
    x = 1,403.23

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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.