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Finding the Fourth Proportional to 2,952.83, 4,425.93 and 1,197.42

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Solution

The fourth proportional to 2,952.83, 4,425.93 and 1,197.42 is: 1,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.83 : 4,425.93 = 1,197.42 : x
  2. Step 2: Convert to fraction form
    2,952.83/4,425.93 = 1,197.42/x
  3. Step 3: Cross multiply
    2,952.83x = 4,425.93 × 1,197.42
  4. Step 4: Simplify right side
    2,952.83x = 5,299,697.10
  5. Step 5: Solve for x
    x = 5,299,697.10/2,952.83
  6. Step 6: Final answer
    x = 1,794.79

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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.