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Finding the Fourth Proportional to 1,546.23, 2,320.26 and 622.20

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Solution

The fourth proportional to 1,546.23, 2,320.26 and 622.20 is: 933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.23 : 2,320.26 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,546.23/2,320.26 = 622.20/x
  3. Step 3: Cross multiply
    1,546.23x = 2,320.26 × 622.20
  4. Step 4: Simplify right side
    1,546.23x = 1,443,665.77
  5. Step 5: Solve for x
    x = 1,443,665.77/1,546.23
  6. Step 6: Final answer
    x = 933.67

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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.