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Finding the Fourth Proportional to 1,528.36, 2,109.10 and 865.33

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Solution

The fourth proportional to 1,528.36, 2,109.10 and 865.33 is: 1,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.36 : 2,109.10 = 865.33 : x
  2. Step 2: Convert to fraction form
    1,528.36/2,109.10 = 865.33/x
  3. Step 3: Cross multiply
    1,528.36x = 2,109.10 × 865.33
  4. Step 4: Simplify right side
    1,528.36x = 1,825,067.50
  5. Step 5: Solve for x
    x = 1,825,067.50/1,528.36
  6. Step 6: Final answer
    x = 1,194.13

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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.