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Finding the Fourth Proportional to 1,880.49, 2,593.42 and 1,216.69

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Solution

The fourth proportional to 1,880.49, 2,593.42 and 1,216.69 is: 1,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.49 : 2,593.42 = 1,216.69 : x
  2. Step 2: Convert to fraction form
    1,880.49/2,593.42 = 1,216.69/x
  3. Step 3: Cross multiply
    1,880.49x = 2,593.42 × 1,216.69
  4. Step 4: Simplify right side
    1,880.49x = 3,155,388.18
  5. Step 5: Solve for x
    x = 3,155,388.18/1,880.49
  6. Step 6: Final answer
    x = 1,677.96

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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.