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Finding the Fourth Proportional to 2,114.92, 3,172.38 and 1,019.08

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Solution

The fourth proportional to 2,114.92, 3,172.38 and 1,019.08 is: 1,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.92 : 3,172.38 = 1,019.08 : x
  2. Step 2: Convert to fraction form
    2,114.92/3,172.38 = 1,019.08/x
  3. Step 3: Cross multiply
    2,114.92x = 3,172.38 × 1,019.08
  4. Step 4: Simplify right side
    2,114.92x = 3,232,909.01
  5. Step 5: Solve for x
    x = 3,232,909.01/2,114.92
  6. Step 6: Final answer
    x = 1,528.62

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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.