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Finding the Fourth Proportional to 1,528.49, 2,109.12 and 865.33

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Solution

The fourth proportional to 1,528.49, 2,109.12 and 865.33 is: 1,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.49 : 2,109.12 = 865.33 : x
  2. Step 2: Convert to fraction form
    1,528.49/2,109.12 = 865.33/x
  3. Step 3: Cross multiply
    1,528.49x = 2,109.12 × 865.33
  4. Step 4: Simplify right side
    1,528.49x = 1,825,076.29
  5. Step 5: Solve for x
    x = 1,825,076.29/1,528.49
  6. Step 6: Final answer
    x = 1,194.04

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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.