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Finding the Fourth Proportional to 2,005.52, 2,764.83 and 1,728.70

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Solution

The fourth proportional to 2,005.52, 2,764.83 and 1,728.70 is: 2,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.52 : 2,764.83 = 1,728.70 : x
  2. Step 2: Convert to fraction form
    2,005.52/2,764.83 = 1,728.70/x
  3. Step 3: Cross multiply
    2,005.52x = 2,764.83 × 1,728.70
  4. Step 4: Simplify right side
    2,005.52x = 4,779,561.62
  5. Step 5: Solve for x
    x = 4,779,561.62/2,005.52
  6. Step 6: Final answer
    x = 2,383.20

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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.