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Finding the Fourth Proportional to 2,005.06, 2,760.44 and 1,742.99

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Solution

The fourth proportional to 2,005.06, 2,760.44 and 1,742.99 is: 2,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.06 : 2,760.44 = 1,742.99 : x
  2. Step 2: Convert to fraction form
    2,005.06/2,760.44 = 1,742.99/x
  3. Step 3: Cross multiply
    2,005.06x = 2,760.44 × 1,742.99
  4. Step 4: Simplify right side
    2,005.06x = 4,811,419.32
  5. Step 5: Solve for x
    x = 4,811,419.32/2,005.06
  6. Step 6: Final answer
    x = 2,399.64

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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.