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Finding the Fourth Proportional to 2,473.65, 3,704.60 and 1,431.45

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Solution

The fourth proportional to 2,473.65, 3,704.60 and 1,431.45 is: 2,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.65 : 3,704.60 = 1,431.45 : x
  2. Step 2: Convert to fraction form
    2,473.65/3,704.60 = 1,431.45/x
  3. Step 3: Cross multiply
    2,473.65x = 3,704.60 × 1,431.45
  4. Step 4: Simplify right side
    2,473.65x = 5,302,953.25
  5. Step 5: Solve for x
    x = 5,302,953.25/2,473.65
  6. Step 6: Final answer
    x = 2,143.78

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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.