Home / 1,450.26-2,175.21-410.34

Finding the Fourth Proportional to 1,450.26, 2,175.21 and 410.34

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Solution

The fourth proportional to 1,450.26, 2,175.21 and 410.34 is: 615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.26 : 2,175.21 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,450.26/2,175.21 = 410.34/x
  3. Step 3: Cross multiply
    1,450.26x = 2,175.21 × 410.34
  4. Step 4: Simplify right side
    1,450.26x = 892,575.67
  5. Step 5: Solve for x
    x = 892,575.67/1,450.26
  6. Step 6: Final answer
    x = 615.46

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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.