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Finding the Fourth Proportional to 1,822.73, 2,734.23 and 524.21

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Solution

The fourth proportional to 1,822.73, 2,734.23 and 524.21 is: 786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.73 : 2,734.23 = 524.21 : x
  2. Step 2: Convert to fraction form
    1,822.73/2,734.23 = 524.21/x
  3. Step 3: Cross multiply
    1,822.73x = 2,734.23 × 524.21
  4. Step 4: Simplify right side
    1,822.73x = 1,433,310.71
  5. Step 5: Solve for x
    x = 1,433,310.71/1,822.73
  6. Step 6: Final answer
    x = 786.35

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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.