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Finding the Fourth Proportional to 1,382.66, 1,905.87 and 1,087.54

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Solution

The fourth proportional to 1,382.66, 1,905.87 and 1,087.54 is: 1,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.66 : 1,905.87 = 1,087.54 : x
  2. Step 2: Convert to fraction form
    1,382.66/1,905.87 = 1,087.54/x
  3. Step 3: Cross multiply
    1,382.66x = 1,905.87 × 1,087.54
  4. Step 4: Simplify right side
    1,382.66x = 2,072,709.86
  5. Step 5: Solve for x
    x = 2,072,709.86/1,382.66
  6. Step 6: Final answer
    x = 1,499.07

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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.