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Finding the Fourth Proportional to 2,734.57, 4,103.99 and 1,907.46

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Solution

The fourth proportional to 2,734.57, 4,103.99 and 1,907.46 is: 2,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.57 : 4,103.99 = 1,907.46 : x
  2. Step 2: Convert to fraction form
    2,734.57/4,103.99 = 1,907.46/x
  3. Step 3: Cross multiply
    2,734.57x = 4,103.99 × 1,907.46
  4. Step 4: Simplify right side
    2,734.57x = 7,828,201.53
  5. Step 5: Solve for x
    x = 7,828,201.53/2,734.57
  6. Step 6: Final answer
    x = 2,862.68

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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.