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Finding the Fourth Proportional to 2,324.89, 3,209.12 and 1,528.80

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Solution

The fourth proportional to 2,324.89, 3,209.12 and 1,528.80 is: 2,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.89 : 3,209.12 = 1,528.80 : x
  2. Step 2: Convert to fraction form
    2,324.89/3,209.12 = 1,528.80/x
  3. Step 3: Cross multiply
    2,324.89x = 3,209.12 × 1,528.80
  4. Step 4: Simplify right side
    2,324.89x = 4,906,102.66
  5. Step 5: Solve for x
    x = 4,906,102.66/2,324.89
  6. Step 6: Final answer
    x = 2,110.25

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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.