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Finding the Fourth Proportional to 1,524.45, 2,287.92 and 794.24

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Solution

The fourth proportional to 1,524.45, 2,287.92 and 794.24 is: 1,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.45 : 2,287.92 = 794.24 : x
  2. Step 2: Convert to fraction form
    1,524.45/2,287.92 = 794.24/x
  3. Step 3: Cross multiply
    1,524.45x = 2,287.92 × 794.24
  4. Step 4: Simplify right side
    1,524.45x = 1,817,146.14
  5. Step 5: Solve for x
    x = 1,817,146.14/1,524.45
  6. Step 6: Final answer
    x = 1,192.00

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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.