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Finding the Fourth Proportional to 2,004.52, 2,766.18 and 1,296.04

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Solution

The fourth proportional to 2,004.52, 2,766.18 and 1,296.04 is: 1,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.52 : 2,766.18 = 1,296.04 : x
  2. Step 2: Convert to fraction form
    2,004.52/2,766.18 = 1,296.04/x
  3. Step 3: Cross multiply
    2,004.52x = 2,766.18 × 1,296.04
  4. Step 4: Simplify right side
    2,004.52x = 3,585,079.93
  5. Step 5: Solve for x
    x = 3,585,079.93/2,004.52
  6. Step 6: Final answer
    x = 1,788.50

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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.