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Finding the Fourth Proportional to 2,645.45, 3,967.36 and 1,828.97

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Solution

The fourth proportional to 2,645.45, 3,967.36 and 1,828.97 is: 2,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.45 : 3,967.36 = 1,828.97 : x
  2. Step 2: Convert to fraction form
    2,645.45/3,967.36 = 1,828.97/x
  3. Step 3: Cross multiply
    2,645.45x = 3,967.36 × 1,828.97
  4. Step 4: Simplify right side
    2,645.45x = 7,256,182.42
  5. Step 5: Solve for x
    x = 7,256,182.42/2,645.45
  6. Step 6: Final answer
    x = 2,742.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.