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Finding the Fourth Proportional to 1,830.45, 2,744.47 and 1,039.83

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Solution

The fourth proportional to 1,830.45, 2,744.47 and 1,039.83 is: 1,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.45 : 2,744.47 = 1,039.83 : x
  2. Step 2: Convert to fraction form
    1,830.45/2,744.47 = 1,039.83/x
  3. Step 3: Cross multiply
    1,830.45x = 2,744.47 × 1,039.83
  4. Step 4: Simplify right side
    1,830.45x = 2,853,782.24
  5. Step 5: Solve for x
    x = 2,853,782.24/1,830.45
  6. Step 6: Final answer
    x = 1,559.06

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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.