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Finding the Fourth Proportional to 1,835.80, 2,748.52 and 1,662.80

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Solution

The fourth proportional to 1,835.80, 2,748.52 and 1,662.80 is: 2,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.80 : 2,748.52 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    1,835.80/2,748.52 = 1,662.80/x
  3. Step 3: Cross multiply
    1,835.80x = 2,748.52 × 1,662.80
  4. Step 4: Simplify right side
    1,835.80x = 4,570,239.06
  5. Step 5: Solve for x
    x = 4,570,239.06/1,835.80
  6. Step 6: Final answer
    x = 2,489.51

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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.