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Finding the Fourth Proportional to 2,964.79, 4,091.20 and 1,638.48

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Solution

The fourth proportional to 2,964.79, 4,091.20 and 1,638.48 is: 2,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.79 : 4,091.20 = 1,638.48 : x
  2. Step 2: Convert to fraction form
    2,964.79/4,091.20 = 1,638.48/x
  3. Step 3: Cross multiply
    2,964.79x = 4,091.20 × 1,638.48
  4. Step 4: Simplify right side
    2,964.79x = 6,703,349.38
  5. Step 5: Solve for x
    x = 6,703,349.38/2,964.79
  6. Step 6: Final answer
    x = 2,260.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.