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Finding the Fourth Proportional to 1,517.54, 2,276.06 and 421.61

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Solution

The fourth proportional to 1,517.54, 2,276.06 and 421.61 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.54 : 2,276.06 = 421.61 : x
  2. Step 2: Convert to fraction form
    1,517.54/2,276.06 = 421.61/x
  3. Step 3: Cross multiply
    1,517.54x = 2,276.06 × 421.61
  4. Step 4: Simplify right side
    1,517.54x = 959,607.55
  5. Step 5: Solve for x
    x = 959,607.55/1,517.54
  6. Step 6: Final answer
    x = 632.34

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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.