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Finding the Fourth Proportional to 1,825.79, 2,519.24 and 1,039.82

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Solution

The fourth proportional to 1,825.79, 2,519.24 and 1,039.82 is: 1,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.79 : 2,519.24 = 1,039.82 : x
  2. Step 2: Convert to fraction form
    1,825.79/2,519.24 = 1,039.82/x
  3. Step 3: Cross multiply
    1,825.79x = 2,519.24 × 1,039.82
  4. Step 4: Simplify right side
    1,825.79x = 2,619,538.34
  5. Step 5: Solve for x
    x = 2,619,538.34/1,825.79
  6. Step 6: Final answer
    x = 1,434.75

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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.