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Finding the Fourth Proportional to 2,004.52, 2,766.24 and 1,218.56

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Solution

The fourth proportional to 2,004.52, 2,766.24 and 1,218.56 is: 1,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.52 : 2,766.24 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    2,004.52/2,766.24 = 1,218.56/x
  3. Step 3: Cross multiply
    2,004.52x = 2,766.24 × 1,218.56
  4. Step 4: Simplify right side
    2,004.52x = 3,370,829.41
  5. Step 5: Solve for x
    x = 3,370,829.41/2,004.52
  6. Step 6: Final answer
    x = 1,681.61

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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.