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Finding the Fourth Proportional to 3,004.84, 4,145.97 and 1,825.84

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Solution

The fourth proportional to 3,004.84, 4,145.97 and 1,825.84 is: 2,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.84 : 4,145.97 = 1,825.84 : x
  2. Step 2: Convert to fraction form
    3,004.84/4,145.97 = 1,825.84/x
  3. Step 3: Cross multiply
    3,004.84x = 4,145.97 × 1,825.84
  4. Step 4: Simplify right side
    3,004.84x = 7,569,877.86
  5. Step 5: Solve for x
    x = 7,569,877.86/3,004.84
  6. Step 6: Final answer
    x = 2,519.23

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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.