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Finding the Fourth Proportional to 2,735.72, 4,104.18 and 1,004.30

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Solution

The fourth proportional to 2,735.72, 4,104.18 and 1,004.30 is: 1,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.72 : 4,104.18 = 1,004.30 : x
  2. Step 2: Convert to fraction form
    2,735.72/4,104.18 = 1,004.30/x
  3. Step 3: Cross multiply
    2,735.72x = 4,104.18 × 1,004.30
  4. Step 4: Simplify right side
    2,735.72x = 4,121,827.97
  5. Step 5: Solve for x
    x = 4,121,827.97/2,735.72
  6. Step 6: Final answer
    x = 1,506.67

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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.