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Finding the Fourth Proportional to 1,825.86, 2,519.46 and 1,039.80

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Solution

The fourth proportional to 1,825.86, 2,519.46 and 1,039.80 is: 1,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.86 : 2,519.46 = 1,039.80 : x
  2. Step 2: Convert to fraction form
    1,825.86/2,519.46 = 1,039.80/x
  3. Step 3: Cross multiply
    1,825.86x = 2,519.46 × 1,039.80
  4. Step 4: Simplify right side
    1,825.86x = 2,619,734.51
  5. Step 5: Solve for x
    x = 2,619,734.51/1,825.86
  6. Step 6: Final answer
    x = 1,434.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.