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Finding the Fourth Proportional to 3,000.52, 4,140.78 and 1,821.46

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Solution

The fourth proportional to 3,000.52, 4,140.78 and 1,821.46 is: 2,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.52 : 4,140.78 = 1,821.46 : x
  2. Step 2: Convert to fraction form
    3,000.52/4,140.78 = 1,821.46/x
  3. Step 3: Cross multiply
    3,000.52x = 4,140.78 × 1,821.46
  4. Step 4: Simplify right side
    3,000.52x = 7,542,265.14
  5. Step 5: Solve for x
    x = 7,542,265.14/3,000.52
  6. Step 6: Final answer
    x = 2,513.65

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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.