Home / 1,766.14-2,649.30-467.57

Finding the Fourth Proportional to 1,766.14, 2,649.30 and 467.57

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Solution

The fourth proportional to 1,766.14, 2,649.30 and 467.57 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.14 : 2,649.30 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,766.14/2,649.30 = 467.57/x
  3. Step 3: Cross multiply
    1,766.14x = 2,649.30 × 467.57
  4. Step 4: Simplify right side
    1,766.14x = 1,238,733.20
  5. Step 5: Solve for x
    x = 1,238,733.20/1,766.14
  6. Step 6: Final answer
    x = 701.38

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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.