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Finding the Fourth Proportional to 1,821.52, 2,730.98 and 896.86

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Solution

The fourth proportional to 1,821.52, 2,730.98 and 896.86 is: 1,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.52 : 2,730.98 = 896.86 : x
  2. Step 2: Convert to fraction form
    1,821.52/2,730.98 = 896.86/x
  3. Step 3: Cross multiply
    1,821.52x = 2,730.98 × 896.86
  4. Step 4: Simplify right side
    1,821.52x = 2,449,297.02
  5. Step 5: Solve for x
    x = 2,449,297.02/1,821.52
  6. Step 6: Final answer
    x = 1,344.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.