Home / 1,516.08-2,092.28-852.96

Finding the Fourth Proportional to 1,516.08, 2,092.28 and 852.96

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Solution

The fourth proportional to 1,516.08, 2,092.28 and 852.96 is: 1,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.08 : 2,092.28 = 852.96 : x
  2. Step 2: Convert to fraction form
    1,516.08/2,092.28 = 852.96/x
  3. Step 3: Cross multiply
    1,516.08x = 2,092.28 × 852.96
  4. Step 4: Simplify right side
    1,516.08x = 1,784,631.15
  5. Step 5: Solve for x
    x = 1,784,631.15/1,516.08
  6. Step 6: Final answer
    x = 1,177.14

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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.