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Finding the Fourth Proportional to 1,517.46, 2,272.72 and 962.14

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Solution

The fourth proportional to 1,517.46, 2,272.72 and 962.14 is: 1,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.46 : 2,272.72 = 962.14 : x
  2. Step 2: Convert to fraction form
    1,517.46/2,272.72 = 962.14/x
  3. Step 3: Cross multiply
    1,517.46x = 2,272.72 × 962.14
  4. Step 4: Simplify right side
    1,517.46x = 2,186,677.35
  5. Step 5: Solve for x
    x = 2,186,677.35/1,517.46
  6. Step 6: Final answer
    x = 1,441.01

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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.