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Finding the Fourth Proportional to 2,145.40, 3,209.20 and 2,014.18

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Solution

The fourth proportional to 2,145.40, 3,209.20 and 2,014.18 is: 3,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.40 : 3,209.20 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    2,145.40/3,209.20 = 2,014.18/x
  3. Step 3: Cross multiply
    2,145.40x = 3,209.20 × 2,014.18
  4. Step 4: Simplify right side
    2,145.40x = 6,463,906.46
  5. Step 5: Solve for x
    x = 6,463,906.46/2,145.40
  6. Step 6: Final answer
    x = 3,012.91

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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.