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Finding the Fourth Proportional to 1,382.97, 1,908.30 and 985.67

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Solution

The fourth proportional to 1,382.97, 1,908.30 and 985.67 is: 1,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.97 : 1,908.30 = 985.67 : x
  2. Step 2: Convert to fraction form
    1,382.97/1,908.30 = 985.67/x
  3. Step 3: Cross multiply
    1,382.97x = 1,908.30 × 985.67
  4. Step 4: Simplify right side
    1,382.97x = 1,880,944.52
  5. Step 5: Solve for x
    x = 1,880,944.52/1,382.97
  6. Step 6: Final answer
    x = 1,360.08

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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.