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Finding the Fourth Proportional to 1,878.24, 2,593.20 and 1,180.84

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Solution

The fourth proportional to 1,878.24, 2,593.20 and 1,180.84 is: 1,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.24 : 2,593.20 = 1,180.84 : x
  2. Step 2: Convert to fraction form
    1,878.24/2,593.20 = 1,180.84/x
  3. Step 3: Cross multiply
    1,878.24x = 2,593.20 × 1,180.84
  4. Step 4: Simplify right side
    1,878.24x = 3,062,154.29
  5. Step 5: Solve for x
    x = 3,062,154.29/1,878.24
  6. Step 6: Final answer
    x = 1,630.33

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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.