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Finding the Fourth Proportional to 1,832.22, 2,740.80 and 1,524.49

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Solution

The fourth proportional to 1,832.22, 2,740.80 and 1,524.49 is: 2,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.22 : 2,740.80 = 1,524.49 : x
  2. Step 2: Convert to fraction form
    1,832.22/2,740.80 = 1,524.49/x
  3. Step 3: Cross multiply
    1,832.22x = 2,740.80 × 1,524.49
  4. Step 4: Simplify right side
    1,832.22x = 4,178,321.06
  5. Step 5: Solve for x
    x = 4,178,321.06/1,832.22
  6. Step 6: Final answer
    x = 2,280.47

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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.