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Finding the Fourth Proportional to 1,830.10, 2,744.82 and 905.36

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Solution

The fourth proportional to 1,830.10, 2,744.82 and 905.36 is: 1,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.10 : 2,744.82 = 905.36 : x
  2. Step 2: Convert to fraction form
    1,830.10/2,744.82 = 905.36/x
  3. Step 3: Cross multiply
    1,830.10x = 2,744.82 × 905.36
  4. Step 4: Simplify right side
    1,830.10x = 2,485,050.24
  5. Step 5: Solve for x
    x = 2,485,050.24/1,830.10
  6. Step 6: Final answer
    x = 1,357.88

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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.