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Finding the Fourth Proportional to 1,517.38, 2,275.80 and 421.45

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Solution

The fourth proportional to 1,517.38, 2,275.80 and 421.45 is: 632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.38 : 2,275.80 = 421.45 : x
  2. Step 2: Convert to fraction form
    1,517.38/2,275.80 = 421.45/x
  3. Step 3: Cross multiply
    1,517.38x = 2,275.80 × 421.45
  4. Step 4: Simplify right side
    1,517.38x = 959,124.53
  5. Step 5: Solve for x
    x = 959,124.53/1,517.38
  6. Step 6: Final answer
    x = 632.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.