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Finding the Fourth Proportional to 2,004.13, 2,764.65 and 1,256.68

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Solution

The fourth proportional to 2,004.13, 2,764.65 and 1,256.68 is: 1,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.13 : 2,764.65 = 1,256.68 : x
  2. Step 2: Convert to fraction form
    2,004.13/2,764.65 = 1,256.68/x
  3. Step 3: Cross multiply
    2,004.13x = 2,764.65 × 1,256.68
  4. Step 4: Simplify right side
    2,004.13x = 3,474,280.36
  5. Step 5: Solve for x
    x = 3,474,280.36/2,004.13
  6. Step 6: Final answer
    x = 1,733.56

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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.