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Finding the Fourth Proportional to 2,062.40, 3,093.60 and 1,601.60

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Solution

The fourth proportional to 2,062.40, 3,093.60 and 1,601.60 is: 2,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.40 : 3,093.60 = 1,601.60 : x
  2. Step 2: Convert to fraction form
    2,062.40/3,093.60 = 1,601.60/x
  3. Step 3: Cross multiply
    2,062.40x = 3,093.60 × 1,601.60
  4. Step 4: Simplify right side
    2,062.40x = 4,954,709.76
  5. Step 5: Solve for x
    x = 4,954,709.76/2,062.40
  6. Step 6: Final answer
    x = 2,402.40

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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.