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Finding the Fourth Proportional to 2,805.96, 3,872.04 and 1,546.80

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Solution

The fourth proportional to 2,805.96, 3,872.04 and 1,546.80 is: 2,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.96 : 3,872.04 = 1,546.80 : x
  2. Step 2: Convert to fraction form
    2,805.96/3,872.04 = 1,546.80/x
  3. Step 3: Cross multiply
    2,805.96x = 3,872.04 × 1,546.80
  4. Step 4: Simplify right side
    2,805.96x = 5,989,271.47
  5. Step 5: Solve for x
    x = 5,989,271.47/2,805.96
  6. Step 6: Final answer
    x = 2,134.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.