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Finding the Fourth Proportional to 2,700.72, 4,050.73 and 852.02

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Solution

The fourth proportional to 2,700.72, 4,050.73 and 852.02 is: 1,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.72 : 4,050.73 = 852.02 : x
  2. Step 2: Convert to fraction form
    2,700.72/4,050.73 = 852.02/x
  3. Step 3: Cross multiply
    2,700.72x = 4,050.73 × 852.02
  4. Step 4: Simplify right side
    2,700.72x = 3,451,301.37
  5. Step 5: Solve for x
    x = 3,451,301.37/2,700.72
  6. Step 6: Final answer
    x = 1,277.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.