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Finding the Fourth Proportional to 1,834.86, 2,748.14 and 1,102.89

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Solution

The fourth proportional to 1,834.86, 2,748.14 and 1,102.89 is: 1,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.86 : 2,748.14 = 1,102.89 : x
  2. Step 2: Convert to fraction form
    1,834.86/2,748.14 = 1,102.89/x
  3. Step 3: Cross multiply
    1,834.86x = 2,748.14 × 1,102.89
  4. Step 4: Simplify right side
    1,834.86x = 3,030,896.12
  5. Step 5: Solve for x
    x = 3,030,896.12/1,834.86
  6. Step 6: Final answer
    x = 1,651.84

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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.