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Finding the Fourth Proportional to 1,611.49, 2,207.19 and 1,516.92

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Solution

The fourth proportional to 1,611.49, 2,207.19 and 1,516.92 is: 2,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.49 : 2,207.19 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    1,611.49/2,207.19 = 1,516.92/x
  3. Step 3: Cross multiply
    1,611.49x = 2,207.19 × 1,516.92
  4. Step 4: Simplify right side
    1,611.49x = 3,348,130.65
  5. Step 5: Solve for x
    x = 3,348,130.65/1,611.49
  6. Step 6: Final answer
    x = 2,077.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.