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Finding the Fourth Proportional to 1,639.14, 2,457.27 and 761.31

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Solution

The fourth proportional to 1,639.14, 2,457.27 and 761.31 is: 1,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.14 : 2,457.27 = 761.31 : x
  2. Step 2: Convert to fraction form
    1,639.14/2,457.27 = 761.31/x
  3. Step 3: Cross multiply
    1,639.14x = 2,457.27 × 761.31
  4. Step 4: Simplify right side
    1,639.14x = 1,870,744.22
  5. Step 5: Solve for x
    x = 1,870,744.22/1,639.14
  6. Step 6: Final answer
    x = 1,141.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.