Home / 1,634.21-2,451.47-464.23

Finding the Fourth Proportional to 1,634.21, 2,451.47 and 464.23

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Solution

The fourth proportional to 1,634.21, 2,451.47 and 464.23 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.21 : 2,451.47 = 464.23 : x
  2. Step 2: Convert to fraction form
    1,634.21/2,451.47 = 464.23/x
  3. Step 3: Cross multiply
    1,634.21x = 2,451.47 × 464.23
  4. Step 4: Simplify right side
    1,634.21x = 1,138,031.34
  5. Step 5: Solve for x
    x = 1,138,031.34/1,634.21
  6. Step 6: Final answer
    x = 696.38

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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.