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Finding the Fourth Proportional to 2,065.92, 3,093.36 and 1,737.87

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Solution

The fourth proportional to 2,065.92, 3,093.36 and 1,737.87 is: 2,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.92 : 3,093.36 = 1,737.87 : x
  2. Step 2: Convert to fraction form
    2,065.92/3,093.36 = 1,737.87/x
  3. Step 3: Cross multiply
    2,065.92x = 3,093.36 × 1,737.87
  4. Step 4: Simplify right side
    2,065.92x = 5,375,857.54
  5. Step 5: Solve for x
    x = 5,375,857.54/2,065.92
  6. Step 6: Final answer
    x = 2,602.16

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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.