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Finding the Fourth Proportional to 2,473.85, 3,704.92 and 2,147.45

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Solution

The fourth proportional to 2,473.85, 3,704.92 and 2,147.45 is: 3,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.85 : 3,704.92 = 2,147.45 : x
  2. Step 2: Convert to fraction form
    2,473.85/3,704.92 = 2,147.45/x
  3. Step 3: Cross multiply
    2,473.85x = 3,704.92 × 2,147.45
  4. Step 4: Simplify right side
    2,473.85x = 7,956,139.48
  5. Step 5: Solve for x
    x = 7,956,139.48/2,473.85
  6. Step 6: Final answer
    x = 3,216.09

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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.