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Finding the Fourth Proportional to 1,184.58, 1,768.09 and 1,111.62

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Solution

The fourth proportional to 1,184.58, 1,768.09 and 1,111.62 is: 1,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.58 : 1,768.09 = 1,111.62 : x
  2. Step 2: Convert to fraction form
    1,184.58/1,768.09 = 1,111.62/x
  3. Step 3: Cross multiply
    1,184.58x = 1,768.09 × 1,111.62
  4. Step 4: Simplify right side
    1,184.58x = 1,965,433.98
  5. Step 5: Solve for x
    x = 1,965,433.98/1,184.58
  6. Step 6: Final answer
    x = 1,659.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.