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Finding the Fourth Proportional to 2,504.72, 3,455.20 and 2,033.14

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Solution

The fourth proportional to 2,504.72, 3,455.20 and 2,033.14 is: 2,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.72 : 3,455.20 = 2,033.14 : x
  2. Step 2: Convert to fraction form
    2,504.72/3,455.20 = 2,033.14/x
  3. Step 3: Cross multiply
    2,504.72x = 3,455.20 × 2,033.14
  4. Step 4: Simplify right side
    2,504.72x = 7,024,905.33
  5. Step 5: Solve for x
    x = 7,024,905.33/2,504.72
  6. Step 6: Final answer
    x = 2,804.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.