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Finding the Fourth Proportional to 2,062.95, 2,846.38 and 1,166.71

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Solution

The fourth proportional to 2,062.95, 2,846.38 and 1,166.71 is: 1,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.95 : 2,846.38 = 1,166.71 : x
  2. Step 2: Convert to fraction form
    2,062.95/2,846.38 = 1,166.71/x
  3. Step 3: Cross multiply
    2,062.95x = 2,846.38 × 1,166.71
  4. Step 4: Simplify right side
    2,062.95x = 3,320,879.94
  5. Step 5: Solve for x
    x = 3,320,879.94/2,062.95
  6. Step 6: Final answer
    x = 1,609.77

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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.