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Finding the Fourth Proportional to 1,611.28, 2,416.98 and 516.40

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Solution

The fourth proportional to 1,611.28, 2,416.98 and 516.40 is: 774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.28 : 2,416.98 = 516.40 : x
  2. Step 2: Convert to fraction form
    1,611.28/2,416.98 = 516.40/x
  3. Step 3: Cross multiply
    1,611.28x = 2,416.98 × 516.40
  4. Step 4: Simplify right side
    1,611.28x = 1,248,128.47
  5. Step 5: Solve for x
    x = 1,248,128.47/1,611.28
  6. Step 6: Final answer
    x = 774.62

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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.