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Finding the Fourth Proportional to 2,989.62, 4,482.81 and 1,525.14

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Solution

The fourth proportional to 2,989.62, 4,482.81 and 1,525.14 is: 2,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.62 : 4,482.81 = 1,525.14 : x
  2. Step 2: Convert to fraction form
    2,989.62/4,482.81 = 1,525.14/x
  3. Step 3: Cross multiply
    2,989.62x = 4,482.81 × 1,525.14
  4. Step 4: Simplify right side
    2,989.62x = 6,836,912.84
  5. Step 5: Solve for x
    x = 6,836,912.84/2,989.62
  6. Step 6: Final answer
    x = 2,286.88

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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.