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Finding the Fourth Proportional to 1,461.46, 2,016.73 and 863.98

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Solution

The fourth proportional to 1,461.46, 2,016.73 and 863.98 is: 1,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.46 : 2,016.73 = 863.98 : x
  2. Step 2: Convert to fraction form
    1,461.46/2,016.73 = 863.98/x
  3. Step 3: Cross multiply
    1,461.46x = 2,016.73 × 863.98
  4. Step 4: Simplify right side
    1,461.46x = 1,742,399.98
  5. Step 5: Solve for x
    x = 1,742,399.98/1,461.46
  6. Step 6: Final answer
    x = 1,192.24

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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.