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Finding the Fourth Proportional to 2,952.98, 4,425.49 and 1,636.68

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Solution

The fourth proportional to 2,952.98, 4,425.49 and 1,636.68 is: 2,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.98 : 4,425.49 = 1,636.68 : x
  2. Step 2: Convert to fraction form
    2,952.98/4,425.49 = 1,636.68/x
  3. Step 3: Cross multiply
    2,952.98x = 4,425.49 × 1,636.68
  4. Step 4: Simplify right side
    2,952.98x = 7,243,107.96
  5. Step 5: Solve for x
    x = 7,243,107.96/2,952.98
  6. Step 6: Final answer
    x = 2,452.81

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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.