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Finding the Fourth Proportional to 2,315.77, 3,194.96 and 1,320.32

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Solution

The fourth proportional to 2,315.77, 3,194.96 and 1,320.32 is: 1,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.77 : 3,194.96 = 1,320.32 : x
  2. Step 2: Convert to fraction form
    2,315.77/3,194.96 = 1,320.32/x
  3. Step 3: Cross multiply
    2,315.77x = 3,194.96 × 1,320.32
  4. Step 4: Simplify right side
    2,315.77x = 4,218,370.97
  5. Step 5: Solve for x
    x = 4,218,370.97/2,315.77
  6. Step 6: Final answer
    x = 1,821.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.