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Finding the Fourth Proportional to 1,546.01, 2,319.24 and 450.23

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Solution

The fourth proportional to 1,546.01, 2,319.24 and 450.23 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.01 : 2,319.24 = 450.23 : x
  2. Step 2: Convert to fraction form
    1,546.01/2,319.24 = 450.23/x
  3. Step 3: Cross multiply
    1,546.01x = 2,319.24 × 450.23
  4. Step 4: Simplify right side
    1,546.01x = 1,044,191.43
  5. Step 5: Solve for x
    x = 1,044,191.43/1,546.01
  6. Step 6: Final answer
    x = 675.41

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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.