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Finding the Fourth Proportional to 2,914, 4,021.28 and 1,735.04

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Solution

The fourth proportional to 2,914, 4,021.28 and 1,735.04 is: 2,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,021.28 = 1,735.04 : x
  2. Step 2: Convert to fraction form
    2,914/4,021.28 = 1,735.04/x
  3. Step 3: Cross multiply
    2,914x = 4,021.28 × 1,735.04
  4. Step 4: Simplify right side
    2,914x = 6,977,081.65
  5. Step 5: Solve for x
    x = 6,977,081.65/2,914
  6. Step 6: Final answer
    x = 2,394.33

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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.