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Finding the Fourth Proportional to 2,473.45, 3,704.60 and 2,281.38

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Solution

The fourth proportional to 2,473.45, 3,704.60 and 2,281.38 is: 3,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.45 : 3,704.60 = 2,281.38 : x
  2. Step 2: Convert to fraction form
    2,473.45/3,704.60 = 2,281.38/x
  3. Step 3: Cross multiply
    2,473.45x = 3,704.60 × 2,281.38
  4. Step 4: Simplify right side
    2,473.45x = 8,451,592.16
  5. Step 5: Solve for x
    x = 8,451,592.16/2,473.45
  6. Step 6: Final answer
    x = 3,416.93

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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.