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Finding the Fourth Proportional to 2,315.53, 3,194.06 and 1,685.22

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Solution

The fourth proportional to 2,315.53, 3,194.06 and 1,685.22 is: 2,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.53 : 3,194.06 = 1,685.22 : x
  2. Step 2: Convert to fraction form
    2,315.53/3,194.06 = 1,685.22/x
  3. Step 3: Cross multiply
    2,315.53x = 3,194.06 × 1,685.22
  4. Step 4: Simplify right side
    2,315.53x = 5,382,693.79
  5. Step 5: Solve for x
    x = 5,382,693.79/2,315.53
  6. Step 6: Final answer
    x = 2,324.61

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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.