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Finding the Fourth Proportional to 2,744.75, 4,114.08 and 1,355.14

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Solution

The fourth proportional to 2,744.75, 4,114.08 and 1,355.14 is: 2,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.75 : 4,114.08 = 1,355.14 : x
  2. Step 2: Convert to fraction form
    2,744.75/4,114.08 = 1,355.14/x
  3. Step 3: Cross multiply
    2,744.75x = 4,114.08 × 1,355.14
  4. Step 4: Simplify right side
    2,744.75x = 5,575,154.37
  5. Step 5: Solve for x
    x = 5,575,154.37/2,744.75
  6. Step 6: Final answer
    x = 2,031.21

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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.