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Finding the Fourth Proportional to 1,827.22, 2,740.86 and 528.78

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Solution

The fourth proportional to 1,827.22, 2,740.86 and 528.78 is: 793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.22 : 2,740.86 = 528.78 : x
  2. Step 2: Convert to fraction form
    1,827.22/2,740.86 = 528.78/x
  3. Step 3: Cross multiply
    1,827.22x = 2,740.86 × 528.78
  4. Step 4: Simplify right side
    1,827.22x = 1,449,311.95
  5. Step 5: Solve for x
    x = 1,449,311.95/1,827.22
  6. Step 6: Final answer
    x = 793.18

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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.