Home / 1,450.20-2,175.30-410.21

Finding the Fourth Proportional to 1,450.20, 2,175.30 and 410.21

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Solution

The fourth proportional to 1,450.20, 2,175.30 and 410.21 is: 615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.20 : 2,175.30 = 410.21 : x
  2. Step 2: Convert to fraction form
    1,450.20/2,175.30 = 410.21/x
  3. Step 3: Cross multiply
    1,450.20x = 2,175.30 × 410.21
  4. Step 4: Simplify right side
    1,450.20x = 892,329.81
  5. Step 5: Solve for x
    x = 892,329.81/1,450.20
  6. Step 6: Final answer
    x = 615.32

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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.