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Finding the Fourth Proportional to 2,969.96, 4,451.90 and 2,146.19

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Solution

The fourth proportional to 2,969.96, 4,451.90 and 2,146.19 is: 3,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.96 : 4,451.90 = 2,146.19 : x
  2. Step 2: Convert to fraction form
    2,969.96/4,451.90 = 2,146.19/x
  3. Step 3: Cross multiply
    2,969.96x = 4,451.90 × 2,146.19
  4. Step 4: Simplify right side
    2,969.96x = 9,554,590.27
  5. Step 5: Solve for x
    x = 9,554,590.27/2,969.96
  6. Step 6: Final answer
    x = 3,217.08

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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.