Home / 1,516.16-2,092.38-926.66

Finding the Fourth Proportional to 1,516.16, 2,092.38 and 926.66

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Solution

The fourth proportional to 1,516.16, 2,092.38 and 926.66 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.16 : 2,092.38 = 926.66 : x
  2. Step 2: Convert to fraction form
    1,516.16/2,092.38 = 926.66/x
  3. Step 3: Cross multiply
    1,516.16x = 2,092.38 × 926.66
  4. Step 4: Simplify right side
    1,516.16x = 1,938,924.85
  5. Step 5: Solve for x
    x = 1,938,924.85/1,516.16
  6. Step 6: Final answer
    x = 1,278.84

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Why These Related Problems?

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