Home / 1,457.11-2,186.30-763.61

Finding the Fourth Proportional to 1,457.11, 2,186.30 and 763.61

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Solution

The fourth proportional to 1,457.11, 2,186.30 and 763.61 is: 1,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.11 : 2,186.30 = 763.61 : x
  2. Step 2: Convert to fraction form
    1,457.11/2,186.30 = 763.61/x
  3. Step 3: Cross multiply
    1,457.11x = 2,186.30 × 763.61
  4. Step 4: Simplify right side
    1,457.11x = 1,669,480.28
  5. Step 5: Solve for x
    x = 1,669,480.28/1,457.11
  6. Step 6: Final answer
    x = 1,145.75

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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.