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Finding the Fourth Proportional to 1,517.44, 2,275.94 and 421.69

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Solution

The fourth proportional to 1,517.44, 2,275.94 and 421.69 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.44 : 2,275.94 = 421.69 : x
  2. Step 2: Convert to fraction form
    1,517.44/2,275.94 = 421.69/x
  3. Step 3: Cross multiply
    1,517.44x = 2,275.94 × 421.69
  4. Step 4: Simplify right side
    1,517.44x = 959,739.03
  5. Step 5: Solve for x
    x = 959,739.03/1,517.44
  6. Step 6: Final answer
    x = 632.47

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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.