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Finding the Fourth Proportional to 2,140.67, 2,954.18 and 1,196.42

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Solution

The fourth proportional to 2,140.67, 2,954.18 and 1,196.42 is: 1,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.67 : 2,954.18 = 1,196.42 : x
  2. Step 2: Convert to fraction form
    2,140.67/2,954.18 = 1,196.42/x
  3. Step 3: Cross multiply
    2,140.67x = 2,954.18 × 1,196.42
  4. Step 4: Simplify right side
    2,140.67x = 3,534,445.93
  5. Step 5: Solve for x
    x = 3,534,445.93/2,140.67
  6. Step 6: Final answer
    x = 1,651.09

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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.