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Finding the Fourth Proportional to 1,109.52, 1,537.61 and 1,093.86

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Solution

The fourth proportional to 1,109.52, 1,537.61 and 1,093.86 is: 1,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.52 : 1,537.61 = 1,093.86 : x
  2. Step 2: Convert to fraction form
    1,109.52/1,537.61 = 1,093.86/x
  3. Step 3: Cross multiply
    1,109.52x = 1,537.61 × 1,093.86
  4. Step 4: Simplify right side
    1,109.52x = 1,681,928.43
  5. Step 5: Solve for x
    x = 1,681,928.43/1,109.52
  6. Step 6: Final answer
    x = 1,515.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.