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Finding the Fourth Proportional to 2,735.87, 4,107.90 and 1,567.19

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Solution

The fourth proportional to 2,735.87, 4,107.90 and 1,567.19 is: 2,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.87 : 4,107.90 = 1,567.19 : x
  2. Step 2: Convert to fraction form
    2,735.87/4,107.90 = 1,567.19/x
  3. Step 3: Cross multiply
    2,735.87x = 4,107.90 × 1,567.19
  4. Step 4: Simplify right side
    2,735.87x = 6,437,859.80
  5. Step 5: Solve for x
    x = 6,437,859.80/2,735.87
  6. Step 6: Final answer
    x = 2,353.13

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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.