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Finding the Fourth Proportional to 2,735, 4,104.12 and 1,174.96

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Solution

The fourth proportional to 2,735, 4,104.12 and 1,174.96 is: 1,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735 : 4,104.12 = 1,174.96 : x
  2. Step 2: Convert to fraction form
    2,735/4,104.12 = 1,174.96/x
  3. Step 3: Cross multiply
    2,735x = 4,104.12 × 1,174.96
  4. Step 4: Simplify right side
    2,735x = 4,822,176.84
  5. Step 5: Solve for x
    x = 4,822,176.84/2,735
  6. Step 6: Final answer
    x = 1,763.14

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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.