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Finding the Fourth Proportional to 2,835.27, 4,254.12 and 1,105.11

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Solution

The fourth proportional to 2,835.27, 4,254.12 and 1,105.11 is: 1,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.27 : 4,254.12 = 1,105.11 : x
  2. Step 2: Convert to fraction form
    2,835.27/4,254.12 = 1,105.11/x
  3. Step 3: Cross multiply
    2,835.27x = 4,254.12 × 1,105.11
  4. Step 4: Simplify right side
    2,835.27x = 4,701,270.55
  5. Step 5: Solve for x
    x = 4,701,270.55/2,835.27
  6. Step 6: Final answer
    x = 1,658.14

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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.