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Finding the Fourth Proportional to 1,762.40, 2,433.30 and 1,614.44

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Solution

The fourth proportional to 1,762.40, 2,433.30 and 1,614.44 is: 2,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.40 : 2,433.30 = 1,614.44 : x
  2. Step 2: Convert to fraction form
    1,762.40/2,433.30 = 1,614.44/x
  3. Step 3: Cross multiply
    1,762.40x = 2,433.30 × 1,614.44
  4. Step 4: Simplify right side
    1,762.40x = 3,928,416.85
  5. Step 5: Solve for x
    x = 3,928,416.85/1,762.40
  6. Step 6: Final answer
    x = 2,229.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.