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Finding the Fourth Proportional to 1,546.31, 2,319.11 and 506.03

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Solution

The fourth proportional to 1,546.31, 2,319.11 and 506.03 is: 758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.31 : 2,319.11 = 506.03 : x
  2. Step 2: Convert to fraction form
    1,546.31/2,319.11 = 506.03/x
  3. Step 3: Cross multiply
    1,546.31x = 2,319.11 × 506.03
  4. Step 4: Simplify right side
    1,546.31x = 1,173,525.11
  5. Step 5: Solve for x
    x = 1,173,525.11/1,546.31
  6. Step 6: Final answer
    x = 758.92

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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.