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Finding the Fourth Proportional to 1,952.27, 2,928.40 and 798.02

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Solution

The fourth proportional to 1,952.27, 2,928.40 and 798.02 is: 1,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.27 : 2,928.40 = 798.02 : x
  2. Step 2: Convert to fraction form
    1,952.27/2,928.40 = 798.02/x
  3. Step 3: Cross multiply
    1,952.27x = 2,928.40 × 798.02
  4. Step 4: Simplify right side
    1,952.27x = 2,336,921.77
  5. Step 5: Solve for x
    x = 2,336,921.77/1,952.27
  6. Step 6: Final answer
    x = 1,197.03

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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.