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Finding the Fourth Proportional to 2,656.29, 3,986.96 and 1,196.13

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Solution

The fourth proportional to 2,656.29, 3,986.96 and 1,196.13 is: 1,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.29 : 3,986.96 = 1,196.13 : x
  2. Step 2: Convert to fraction form
    2,656.29/3,986.96 = 1,196.13/x
  3. Step 3: Cross multiply
    2,656.29x = 3,986.96 × 1,196.13
  4. Step 4: Simplify right side
    2,656.29x = 4,768,916.48
  5. Step 5: Solve for x
    x = 4,768,916.48/2,656.29
  6. Step 6: Final answer
    x = 1,795.33

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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.