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Finding the Fourth Proportional to 1,516.26, 2,092.62 and 926.88

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Solution

The fourth proportional to 1,516.26, 2,092.62 and 926.88 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.26 : 2,092.62 = 926.88 : x
  2. Step 2: Convert to fraction form
    1,516.26/2,092.62 = 926.88/x
  3. Step 3: Cross multiply
    1,516.26x = 2,092.62 × 926.88
  4. Step 4: Simplify right side
    1,516.26x = 1,939,607.63
  5. Step 5: Solve for x
    x = 1,939,607.63/1,516.26
  6. Step 6: Final answer
    x = 1,279.21

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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.