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Finding the Fourth Proportional to 1,540.42, 2,311.04 and 553.33

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Solution

The fourth proportional to 1,540.42, 2,311.04 and 553.33 is: 830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.42 : 2,311.04 = 553.33 : x
  2. Step 2: Convert to fraction form
    1,540.42/2,311.04 = 553.33/x
  3. Step 3: Cross multiply
    1,540.42x = 2,311.04 × 553.33
  4. Step 4: Simplify right side
    1,540.42x = 1,278,765.00
  5. Step 5: Solve for x
    x = 1,278,765.00/1,540.42
  6. Step 6: Final answer
    x = 830.14

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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.