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Finding the Fourth Proportional to 3,243.92, 4,864.20 and 1,051.88

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Solution

The fourth proportional to 3,243.92, 4,864.20 and 1,051.88 is: 1,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.92 : 4,864.20 = 1,051.88 : x
  2. Step 2: Convert to fraction form
    3,243.92/4,864.20 = 1,051.88/x
  3. Step 3: Cross multiply
    3,243.92x = 4,864.20 × 1,051.88
  4. Step 4: Simplify right side
    3,243.92x = 5,116,554.70
  5. Step 5: Solve for x
    x = 5,116,554.70/3,243.92
  6. Step 6: Final answer
    x = 1,577.28

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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.