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Finding the Fourth Proportional to 1,968.01, 2,715.83 and 1,212.13

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Solution

The fourth proportional to 1,968.01, 2,715.83 and 1,212.13 is: 1,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.01 : 2,715.83 = 1,212.13 : x
  2. Step 2: Convert to fraction form
    1,968.01/2,715.83 = 1,212.13/x
  3. Step 3: Cross multiply
    1,968.01x = 2,715.83 × 1,212.13
  4. Step 4: Simplify right side
    1,968.01x = 3,291,940.90
  5. Step 5: Solve for x
    x = 3,291,940.90/1,968.01
  6. Step 6: Final answer
    x = 1,672.72

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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.