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Finding the Fourth Proportional to 2,784.02, 3,842.70 and 1,665.68

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Solution

The fourth proportional to 2,784.02, 3,842.70 and 1,665.68 is: 2,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.02 : 3,842.70 = 1,665.68 : x
  2. Step 2: Convert to fraction form
    2,784.02/3,842.70 = 1,665.68/x
  3. Step 3: Cross multiply
    2,784.02x = 3,842.70 × 1,665.68
  4. Step 4: Simplify right side
    2,784.02x = 6,400,708.54
  5. Step 5: Solve for x
    x = 6,400,708.54/2,784.02
  6. Step 6: Final answer
    x = 2,299.09

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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.