Home / 1,516.05-2,092.14-926.19

Finding the Fourth Proportional to 1,516.05, 2,092.14 and 926.19

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Solution

The fourth proportional to 1,516.05, 2,092.14 and 926.19 is: 1,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.05 : 2,092.14 = 926.19 : x
  2. Step 2: Convert to fraction form
    1,516.05/2,092.14 = 926.19/x
  3. Step 3: Cross multiply
    1,516.05x = 2,092.14 × 926.19
  4. Step 4: Simplify right side
    1,516.05x = 1,937,719.15
  5. Step 5: Solve for x
    x = 1,937,719.15/1,516.05
  6. Step 6: Final answer
    x = 1,278.14

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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.