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Finding the Fourth Proportional to 1,523.99, 2,286.72 and 1,056.19

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Solution

The fourth proportional to 1,523.99, 2,286.72 and 1,056.19 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.99 : 2,286.72 = 1,056.19 : x
  2. Step 2: Convert to fraction form
    1,523.99/2,286.72 = 1,056.19/x
  3. Step 3: Cross multiply
    1,523.99x = 2,286.72 × 1,056.19
  4. Step 4: Simplify right side
    1,523.99x = 2,415,199.80
  5. Step 5: Solve for x
    x = 2,415,199.80/1,523.99
  6. Step 6: Final answer
    x = 1,584.78

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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.