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Finding the Fourth Proportional to 1,769.24, 2,441.40 and 983.30

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Solution

The fourth proportional to 1,769.24, 2,441.40 and 983.30 is: 1,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.24 : 2,441.40 = 983.30 : x
  2. Step 2: Convert to fraction form
    1,769.24/2,441.40 = 983.30/x
  3. Step 3: Cross multiply
    1,769.24x = 2,441.40 × 983.30
  4. Step 4: Simplify right side
    1,769.24x = 2,400,628.62
  5. Step 5: Solve for x
    x = 2,400,628.62/1,769.24
  6. Step 6: Final answer
    x = 1,356.87

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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.