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Finding the Fourth Proportional to 1,152.27, 1,726.16 and 1,093.23

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Solution

The fourth proportional to 1,152.27, 1,726.16 and 1,093.23 is: 1,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.27 : 1,726.16 = 1,093.23 : x
  2. Step 2: Convert to fraction form
    1,152.27/1,726.16 = 1,093.23/x
  3. Step 3: Cross multiply
    1,152.27x = 1,726.16 × 1,093.23
  4. Step 4: Simplify right side
    1,152.27x = 1,887,084.43
  5. Step 5: Solve for x
    x = 1,887,084.43/1,152.27
  6. Step 6: Final answer
    x = 1,637.71

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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.