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Finding the Fourth Proportional to 1,880.40, 2,593.24 and 1,614.76

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Solution

The fourth proportional to 1,880.40, 2,593.24 and 1,614.76 is: 2,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.40 : 2,593.24 = 1,614.76 : x
  2. Step 2: Convert to fraction form
    1,880.40/2,593.24 = 1,614.76/x
  3. Step 3: Cross multiply
    1,880.40x = 2,593.24 × 1,614.76
  4. Step 4: Simplify right side
    1,880.40x = 4,187,460.22
  5. Step 5: Solve for x
    x = 4,187,460.22/1,880.40
  6. Step 6: Final answer
    x = 2,226.90

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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.