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Finding the Fourth Proportional to 3,000.53, 4,141.19 and 1,821.37

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Solution

The fourth proportional to 3,000.53, 4,141.19 and 1,821.37 is: 2,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.53 : 4,141.19 = 1,821.37 : x
  2. Step 2: Convert to fraction form
    3,000.53/4,141.19 = 1,821.37/x
  3. Step 3: Cross multiply
    3,000.53x = 4,141.19 × 1,821.37
  4. Step 4: Simplify right side
    3,000.53x = 7,542,639.23
  5. Step 5: Solve for x
    x = 7,542,639.23/3,000.53
  6. Step 6: Final answer
    x = 2,513.77

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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.