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Finding the Fourth Proportional to 1,384.24, 1,905.96 and 1,186.96

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Solution

The fourth proportional to 1,384.24, 1,905.96 and 1,186.96 is: 1,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.24 : 1,905.96 = 1,186.96 : x
  2. Step 2: Convert to fraction form
    1,384.24/1,905.96 = 1,186.96/x
  3. Step 3: Cross multiply
    1,384.24x = 1,905.96 × 1,186.96
  4. Step 4: Simplify right side
    1,384.24x = 2,262,298.28
  5. Step 5: Solve for x
    x = 2,262,298.28/1,384.24
  6. Step 6: Final answer
    x = 1,634.33

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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.