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Finding the Fourth Proportional to 1,617.93, 2,232.23 and 1,093.77

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Solution

The fourth proportional to 1,617.93, 2,232.23 and 1,093.77 is: 1,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.93 : 2,232.23 = 1,093.77 : x
  2. Step 2: Convert to fraction form
    1,617.93/2,232.23 = 1,093.77/x
  3. Step 3: Cross multiply
    1,617.93x = 2,232.23 × 1,093.77
  4. Step 4: Simplify right side
    1,617.93x = 2,441,540.74
  5. Step 5: Solve for x
    x = 2,441,540.74/1,617.93
  6. Step 6: Final answer
    x = 1,509.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.