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Finding the Fourth Proportional to 2,575.44, 3,865.68 and 1,835.85

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Solution

The fourth proportional to 2,575.44, 3,865.68 and 1,835.85 is: 2,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.44 : 3,865.68 = 1,835.85 : x
  2. Step 2: Convert to fraction form
    2,575.44/3,865.68 = 1,835.85/x
  3. Step 3: Cross multiply
    2,575.44x = 3,865.68 × 1,835.85
  4. Step 4: Simplify right side
    2,575.44x = 7,096,808.63
  5. Step 5: Solve for x
    x = 7,096,808.63/2,575.44
  6. Step 6: Final answer
    x = 2,755.57

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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.