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Finding the Fourth Proportional to 1,186.84, 1,789.27 and 1,116.37

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Solution

The fourth proportional to 1,186.84, 1,789.27 and 1,116.37 is: 1,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 1,789.27 = 1,116.37 : x
  2. Step 2: Convert to fraction form
    1,186.84/1,789.27 = 1,116.37/x
  3. Step 3: Cross multiply
    1,186.84x = 1,789.27 × 1,116.37
  4. Step 4: Simplify right side
    1,186.84x = 1,997,472.82
  5. Step 5: Solve for x
    x = 1,997,472.82/1,186.84
  6. Step 6: Final answer
    x = 1,683.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.