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Finding the Fourth Proportional to 2,086.52, 2,879.40 and 1,155

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Solution

The fourth proportional to 2,086.52, 2,879.40 and 1,155 is: 1,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.52 : 2,879.40 = 1,155 : x
  2. Step 2: Convert to fraction form
    2,086.52/2,879.40 = 1,155/x
  3. Step 3: Cross multiply
    2,086.52x = 2,879.40 × 1,155
  4. Step 4: Simplify right side
    2,086.52x = 3,325,707
  5. Step 5: Solve for x
    x = 3,325,707/2,086.52
  6. Step 6: Final answer
    x = 1,593.90

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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.