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Finding the Fourth Proportional to 1,517.40, 2,275.67 and 421.49

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Solution

The fourth proportional to 1,517.40, 2,275.67 and 421.49 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.40 : 2,275.67 = 421.49 : x
  2. Step 2: Convert to fraction form
    1,517.40/2,275.67 = 421.49/x
  3. Step 3: Cross multiply
    1,517.40x = 2,275.67 × 421.49
  4. Step 4: Simplify right side
    1,517.40x = 959,178.89
  5. Step 5: Solve for x
    x = 959,178.89/1,517.40
  6. Step 6: Final answer
    x = 632.12

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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.