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Finding the Fourth Proportional to 2,835.69, 3,911.75 and 1,685.23

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Solution

The fourth proportional to 2,835.69, 3,911.75 and 1,685.23 is: 2,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.69 : 3,911.75 = 1,685.23 : x
  2. Step 2: Convert to fraction form
    2,835.69/3,911.75 = 1,685.23/x
  3. Step 3: Cross multiply
    2,835.69x = 3,911.75 × 1,685.23
  4. Step 4: Simplify right side
    2,835.69x = 6,592,196.05
  5. Step 5: Solve for x
    x = 6,592,196.05/2,835.69
  6. Step 6: Final answer
    x = 2,324.72

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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.