Home / 1,464.04-2,195.74-423.82

Finding the Fourth Proportional to 1,464.04, 2,195.74 and 423.82

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Solution

The fourth proportional to 1,464.04, 2,195.74 and 423.82 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.04 : 2,195.74 = 423.82 : x
  2. Step 2: Convert to fraction form
    1,464.04/2,195.74 = 423.82/x
  3. Step 3: Cross multiply
    1,464.04x = 2,195.74 × 423.82
  4. Step 4: Simplify right side
    1,464.04x = 930,585.43
  5. Step 5: Solve for x
    x = 930,585.43/1,464.04
  6. Step 6: Final answer
    x = 635.63

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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.