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Finding the Fourth Proportional to 1,827.52, 2,754.96 and 1,671.85

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Solution

The fourth proportional to 1,827.52, 2,754.96 and 1,671.85 is: 2,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.52 : 2,754.96 = 1,671.85 : x
  2. Step 2: Convert to fraction form
    1,827.52/2,754.96 = 1,671.85/x
  3. Step 3: Cross multiply
    1,827.52x = 2,754.96 × 1,671.85
  4. Step 4: Simplify right side
    1,827.52x = 4,605,879.88
  5. Step 5: Solve for x
    x = 4,605,879.88/1,827.52
  6. Step 6: Final answer
    x = 2,520.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.