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Finding the Fourth Proportional to 1,891.92, 2,610.13 and 1,173.77

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Solution

The fourth proportional to 1,891.92, 2,610.13 and 1,173.77 is: 1,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.92 : 2,610.13 = 1,173.77 : x
  2. Step 2: Convert to fraction form
    1,891.92/2,610.13 = 1,173.77/x
  3. Step 3: Cross multiply
    1,891.92x = 2,610.13 × 1,173.77
  4. Step 4: Simplify right side
    1,891.92x = 3,063,673.37
  5. Step 5: Solve for x
    x = 3,063,673.37/1,891.92
  6. Step 6: Final answer
    x = 1,619.35

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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.