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Finding the Fourth Proportional to 2,429.70, 3,641.81 and 967.14

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Solution

The fourth proportional to 2,429.70, 3,641.81 and 967.14 is: 1,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.70 : 3,641.81 = 967.14 : x
  2. Step 2: Convert to fraction form
    2,429.70/3,641.81 = 967.14/x
  3. Step 3: Cross multiply
    2,429.70x = 3,641.81 × 967.14
  4. Step 4: Simplify right side
    2,429.70x = 3,522,140.12
  5. Step 5: Solve for x
    x = 3,522,140.12/2,429.70
  6. Step 6: Final answer
    x = 1,449.62

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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.