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Finding the Fourth Proportional to 1,963.12, 2,712 and 1,546.24

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Solution

The fourth proportional to 1,963.12, 2,712 and 1,546.24 is: 2,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.12 : 2,712 = 1,546.24 : x
  2. Step 2: Convert to fraction form
    1,963.12/2,712 = 1,546.24/x
  3. Step 3: Cross multiply
    1,963.12x = 2,712 × 1,546.24
  4. Step 4: Simplify right side
    1,963.12x = 4,193,402.88
  5. Step 5: Solve for x
    x = 4,193,402.88/1,963.12
  6. Step 6: Final answer
    x = 2,136.09

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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.