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Finding the Fourth Proportional to 3,289.84, 4,544.92 and 2,158.20

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Solution

The fourth proportional to 3,289.84, 4,544.92 and 2,158.20 is: 2,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.84 : 4,544.92 = 2,158.20 : x
  2. Step 2: Convert to fraction form
    3,289.84/4,544.92 = 2,158.20/x
  3. Step 3: Cross multiply
    3,289.84x = 4,544.92 × 2,158.20
  4. Step 4: Simplify right side
    3,289.84x = 9,808,846.34
  5. Step 5: Solve for x
    x = 9,808,846.34/3,289.84
  6. Step 6: Final answer
    x = 2,981.56

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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.