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Finding the Fourth Proportional to 2,114.40, 3,172.68 and 1,019.70

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Solution

The fourth proportional to 2,114.40, 3,172.68 and 1,019.70 is: 1,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,172.68 = 1,019.70 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,172.68 = 1,019.70/x
  3. Step 3: Cross multiply
    2,114.40x = 3,172.68 × 1,019.70
  4. Step 4: Simplify right side
    2,114.40x = 3,235,181.80
  5. Step 5: Solve for x
    x = 3,235,181.80/2,114.40
  6. Step 6: Final answer
    x = 1,530.07

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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.