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Finding the Fourth Proportional to 1,811.31, 2,499.61 and 983.31

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Solution

The fourth proportional to 1,811.31, 2,499.61 and 983.31 is: 1,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.31 : 2,499.61 = 983.31 : x
  2. Step 2: Convert to fraction form
    1,811.31/2,499.61 = 983.31/x
  3. Step 3: Cross multiply
    1,811.31x = 2,499.61 × 983.31
  4. Step 4: Simplify right side
    1,811.31x = 2,457,891.51
  5. Step 5: Solve for x
    x = 2,457,891.51/1,811.31
  6. Step 6: Final answer
    x = 1,356.97

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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.