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Finding the Fourth Proportional to 1,524.90, 2,287.66 and 867.09

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Solution

The fourth proportional to 1,524.90, 2,287.66 and 867.09 is: 1,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.90 : 2,287.66 = 867.09 : x
  2. Step 2: Convert to fraction form
    1,524.90/2,287.66 = 867.09/x
  3. Step 3: Cross multiply
    1,524.90x = 2,287.66 × 867.09
  4. Step 4: Simplify right side
    1,524.90x = 1,983,608.27
  5. Step 5: Solve for x
    x = 1,983,608.27/1,524.90
  6. Step 6: Final answer
    x = 1,300.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.