Home / 2,116.04-3,171-1,457.24

Finding the Fourth Proportional to 2,116.04, 3,171 and 1,457.24

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Solution

The fourth proportional to 2,116.04, 3,171 and 1,457.24 is: 2,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.04 : 3,171 = 1,457.24 : x
  2. Step 2: Convert to fraction form
    2,116.04/3,171 = 1,457.24/x
  3. Step 3: Cross multiply
    2,116.04x = 3,171 × 1,457.24
  4. Step 4: Simplify right side
    2,116.04x = 4,620,908.04
  5. Step 5: Solve for x
    x = 4,620,908.04/2,116.04
  6. Step 6: Final answer
    x = 2,183.75

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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.