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Finding the Fourth Proportional to 2,154.02, 3,232.89 and 1,230.02

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Solution

The fourth proportional to 2,154.02, 3,232.89 and 1,230.02 is: 1,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.02 : 3,232.89 = 1,230.02 : x
  2. Step 2: Convert to fraction form
    2,154.02/3,232.89 = 1,230.02/x
  3. Step 3: Cross multiply
    2,154.02x = 3,232.89 × 1,230.02
  4. Step 4: Simplify right side
    2,154.02x = 3,976,519.36
  5. Step 5: Solve for x
    x = 3,976,519.36/2,154.02
  6. Step 6: Final answer
    x = 1,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.