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Finding the Fourth Proportional to 2,004.51, 3,006.78 and 1,520.55

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Solution

The fourth proportional to 2,004.51, 3,006.78 and 1,520.55 is: 2,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.51 : 3,006.78 = 1,520.55 : x
  2. Step 2: Convert to fraction form
    2,004.51/3,006.78 = 1,520.55/x
  3. Step 3: Cross multiply
    2,004.51x = 3,006.78 × 1,520.55
  4. Step 4: Simplify right side
    2,004.51x = 4,571,959.33
  5. Step 5: Solve for x
    x = 4,571,959.33/2,004.51
  6. Step 6: Final answer
    x = 2,280.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.