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Finding the Fourth Proportional to 2,784.48, 3,843.36 and 1,606.02

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Solution

The fourth proportional to 2,784.48, 3,843.36 and 1,606.02 is: 2,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.48 : 3,843.36 = 1,606.02 : x
  2. Step 2: Convert to fraction form
    2,784.48/3,843.36 = 1,606.02/x
  3. Step 3: Cross multiply
    2,784.48x = 3,843.36 × 1,606.02
  4. Step 4: Simplify right side
    2,784.48x = 6,172,513.03
  5. Step 5: Solve for x
    x = 6,172,513.03/2,784.48
  6. Step 6: Final answer
    x = 2,216.76

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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.