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Finding the Fourth Proportional to 2,096.61, 2,893.08 and 1,212.72

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Solution

The fourth proportional to 2,096.61, 2,893.08 and 1,212.72 is: 1,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.61 : 2,893.08 = 1,212.72 : x
  2. Step 2: Convert to fraction form
    2,096.61/2,893.08 = 1,212.72/x
  3. Step 3: Cross multiply
    2,096.61x = 2,893.08 × 1,212.72
  4. Step 4: Simplify right side
    2,096.61x = 3,508,495.98
  5. Step 5: Solve for x
    x = 3,508,495.98/2,096.61
  6. Step 6: Final answer
    x = 1,673.41

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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.