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Finding the Fourth Proportional to 1,828.48, 2,740.06 and 731.96

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Solution

The fourth proportional to 1,828.48, 2,740.06 and 731.96 is: 1,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.48 : 2,740.06 = 731.96 : x
  2. Step 2: Convert to fraction form
    1,828.48/2,740.06 = 731.96/x
  3. Step 3: Cross multiply
    1,828.48x = 2,740.06 × 731.96
  4. Step 4: Simplify right side
    1,828.48x = 2,005,614.32
  5. Step 5: Solve for x
    x = 2,005,614.32/1,828.48
  6. Step 6: Final answer
    x = 1,096.88

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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.