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Finding the Fourth Proportional to 2,004.62, 2,766.74 and 1,259.24

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Solution

The fourth proportional to 2,004.62, 2,766.74 and 1,259.24 is: 1,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.62 : 2,766.74 = 1,259.24 : x
  2. Step 2: Convert to fraction form
    2,004.62/2,766.74 = 1,259.24/x
  3. Step 3: Cross multiply
    2,004.62x = 2,766.74 × 1,259.24
  4. Step 4: Simplify right side
    2,004.62x = 3,483,989.68
  5. Step 5: Solve for x
    x = 3,483,989.68/2,004.62
  6. Step 6: Final answer
    x = 1,737.98

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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.