Home / 1,457.12-2,184.92-762.09

Finding the Fourth Proportional to 1,457.12, 2,184.92 and 762.09

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Solution

The fourth proportional to 1,457.12, 2,184.92 and 762.09 is: 1,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.12 : 2,184.92 = 762.09 : x
  2. Step 2: Convert to fraction form
    1,457.12/2,184.92 = 762.09/x
  3. Step 3: Cross multiply
    1,457.12x = 2,184.92 × 762.09
  4. Step 4: Simplify right side
    1,457.12x = 1,665,101.87
  5. Step 5: Solve for x
    x = 1,665,101.87/1,457.12
  6. Step 6: Final answer
    x = 1,142.74

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Why These Related Problems?

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