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Finding the Fourth Proportional to 1,828.44, 2,742.86 and 732.92

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Solution

The fourth proportional to 1,828.44, 2,742.86 and 732.92 is: 1,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,742.86 = 732.92 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,742.86 = 732.92/x
  3. Step 3: Cross multiply
    1,828.44x = 2,742.86 × 732.92
  4. Step 4: Simplify right side
    1,828.44x = 2,010,285.07
  5. Step 5: Solve for x
    x = 2,010,285.07/1,828.44
  6. Step 6: Final answer
    x = 1,099.45

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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.