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Finding the Fourth Proportional to 1,599.92, 2,399.16 and 1,523.60

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Solution

The fourth proportional to 1,599.92, 2,399.16 and 1,523.60 is: 2,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.92 : 2,399.16 = 1,523.60 : x
  2. Step 2: Convert to fraction form
    1,599.92/2,399.16 = 1,523.60/x
  3. Step 3: Cross multiply
    1,599.92x = 2,399.16 × 1,523.60
  4. Step 4: Simplify right side
    1,599.92x = 3,655,360.18
  5. Step 5: Solve for x
    x = 3,655,360.18/1,599.92
  6. Step 6: Final answer
    x = 2,284.71

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Why These Related Problems?

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