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Finding the Fourth Proportional to 2,114.90, 3,173.03 and 1,019.34

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Solution

The fourth proportional to 2,114.90, 3,173.03 and 1,019.34 is: 1,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.90 : 3,173.03 = 1,019.34 : x
  2. Step 2: Convert to fraction form
    2,114.90/3,173.03 = 1,019.34/x
  3. Step 3: Cross multiply
    2,114.90x = 3,173.03 × 1,019.34
  4. Step 4: Simplify right side
    2,114.90x = 3,234,396.40
  5. Step 5: Solve for x
    x = 3,234,396.40/2,114.90
  6. Step 6: Final answer
    x = 1,529.34

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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.