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Finding the Fourth Proportional to 2,673.36, 3,688.50 and 1,834.28

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Solution

The fourth proportional to 2,673.36, 3,688.50 and 1,834.28 is: 2,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.36 : 3,688.50 = 1,834.28 : x
  2. Step 2: Convert to fraction form
    2,673.36/3,688.50 = 1,834.28/x
  3. Step 3: Cross multiply
    2,673.36x = 3,688.50 × 1,834.28
  4. Step 4: Simplify right side
    2,673.36x = 6,765,733.73
  5. Step 5: Solve for x
    x = 6,765,733.73/2,673.36
  6. Step 6: Final answer
    x = 2,530.80

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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.