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Finding the Fourth Proportional to 1,516.19, 2,092.91 and 886.92

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Solution

The fourth proportional to 1,516.19, 2,092.91 and 886.92 is: 1,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.19 : 2,092.91 = 886.92 : x
  2. Step 2: Convert to fraction form
    1,516.19/2,092.91 = 886.92/x
  3. Step 3: Cross multiply
    1,516.19x = 2,092.91 × 886.92
  4. Step 4: Simplify right side
    1,516.19x = 1,856,243.74
  5. Step 5: Solve for x
    x = 1,856,243.74/1,516.19
  6. Step 6: Final answer
    x = 1,224.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.