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Finding the Fourth Proportional to 1,880.59, 2,593.49 and 1,614.95

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Solution

The fourth proportional to 1,880.59, 2,593.49 and 1,614.95 is: 2,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.59 : 2,593.49 = 1,614.95 : x
  2. Step 2: Convert to fraction form
    1,880.59/2,593.49 = 1,614.95/x
  3. Step 3: Cross multiply
    1,880.59x = 2,593.49 × 1,614.95
  4. Step 4: Simplify right side
    1,880.59x = 4,188,356.68
  5. Step 5: Solve for x
    x = 4,188,356.68/1,880.59
  6. Step 6: Final answer
    x = 2,227.15

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Why These Related Problems?

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