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Finding the Fourth Proportional to 2,004.76, 2,767.80 and 1,297.24

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Solution

The fourth proportional to 2,004.76, 2,767.80 and 1,297.24 is: 1,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.76 : 2,767.80 = 1,297.24 : x
  2. Step 2: Convert to fraction form
    2,004.76/2,767.80 = 1,297.24/x
  3. Step 3: Cross multiply
    2,004.76x = 2,767.80 × 1,297.24
  4. Step 4: Simplify right side
    2,004.76x = 3,590,500.87
  5. Step 5: Solve for x
    x = 3,590,500.87/2,004.76
  6. Step 6: Final answer
    x = 1,790.99

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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.