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Finding the Fourth Proportional to 2,964.48, 4,446.72 and 1,233.28

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Solution

The fourth proportional to 2,964.48, 4,446.72 and 1,233.28 is: 1,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.48 : 4,446.72 = 1,233.28 : x
  2. Step 2: Convert to fraction form
    2,964.48/4,446.72 = 1,233.28/x
  3. Step 3: Cross multiply
    2,964.48x = 4,446.72 × 1,233.28
  4. Step 4: Simplify right side
    2,964.48x = 5,484,050.84
  5. Step 5: Solve for x
    x = 5,484,050.84/2,964.48
  6. Step 6: Final answer
    x = 1,849.92

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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.