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Finding the Fourth Proportional to 1,516.86, 2,092.05 and 1,019.16

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Solution

The fourth proportional to 1,516.86, 2,092.05 and 1,019.16 is: 1,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.86 : 2,092.05 = 1,019.16 : x
  2. Step 2: Convert to fraction form
    1,516.86/2,092.05 = 1,019.16/x
  3. Step 3: Cross multiply
    1,516.86x = 2,092.05 × 1,019.16
  4. Step 4: Simplify right side
    1,516.86x = 2,132,133.68
  5. Step 5: Solve for x
    x = 2,132,133.68/1,516.86
  6. Step 6: Final answer
    x = 1,405.62

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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.