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Finding the Fourth Proportional to 1,828.80, 2,742.48 and 733.32

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Solution

The fourth proportional to 1,828.80, 2,742.48 and 733.32 is: 1,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.80 : 2,742.48 = 733.32 : x
  2. Step 2: Convert to fraction form
    1,828.80/2,742.48 = 733.32/x
  3. Step 3: Cross multiply
    1,828.80x = 2,742.48 × 733.32
  4. Step 4: Simplify right side
    1,828.80x = 2,011,115.43
  5. Step 5: Solve for x
    x = 2,011,115.43/1,828.80
  6. Step 6: Final answer
    x = 1,099.69

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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.