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Finding the Fourth Proportional to 1,540.38, 2,311.11 and 890.76

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Solution

The fourth proportional to 1,540.38, 2,311.11 and 890.76 is: 1,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.38 : 2,311.11 = 890.76 : x
  2. Step 2: Convert to fraction form
    1,540.38/2,311.11 = 890.76/x
  3. Step 3: Cross multiply
    1,540.38x = 2,311.11 × 890.76
  4. Step 4: Simplify right side
    1,540.38x = 2,058,644.34
  5. Step 5: Solve for x
    x = 2,058,644.34/1,540.38
  6. Step 6: Final answer
    x = 1,336.45

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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.