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Finding the Fourth Proportional to 1,152.11, 1,730.39 and 1,100.27

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Solution

The fourth proportional to 1,152.11, 1,730.39 and 1,100.27 is: 1,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.11 : 1,730.39 = 1,100.27 : x
  2. Step 2: Convert to fraction form
    1,152.11/1,730.39 = 1,100.27/x
  3. Step 3: Cross multiply
    1,152.11x = 1,730.39 × 1,100.27
  4. Step 4: Simplify right side
    1,152.11x = 1,903,896.21
  5. Step 5: Solve for x
    x = 1,903,896.21/1,152.11
  6. Step 6: Final answer
    x = 1,652.53

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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.