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Finding the Fourth Proportional to 1,546.24, 2,317.92 and 679.84

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Solution

The fourth proportional to 1,546.24, 2,317.92 and 679.84 is: 1,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.24 : 2,317.92 = 679.84 : x
  2. Step 2: Convert to fraction form
    1,546.24/2,317.92 = 679.84/x
  3. Step 3: Cross multiply
    1,546.24x = 2,317.92 × 679.84
  4. Step 4: Simplify right side
    1,546.24x = 1,575,814.73
  5. Step 5: Solve for x
    x = 1,575,814.73/1,546.24
  6. Step 6: Final answer
    x = 1,019.13

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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.